{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "from mpl_toolkits.mplot3d import Axes3D"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# <font face=\"gotham\" color=\"purple\"> $\\mathbb{R}^n$ and Vectors </font>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Every vector in the vector space has a length except $0$-vector, and the terminology of length is **norm**, the general formula of norm of a vector in $\\mathbb{R}^k$is \n",
    "\n",
    "$$\n",
    "\\|u\\|= \\sqrt{x_1^2+x_2^2+...+x_k^2}\n",
    "$$\n",
    "\n",
    "As an example, let's plot vectors $(4, 7)$ and $(8, 6)$ in $\\mathbb{R}^2$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(8, 8))\n",
    "vec = np.array([[0, 0, 4, 7], [0, 0, 8, 6]])\n",
    "\n",
    "X, Y, U, V = zip(*vec)\n",
    "ax.quiver(X, Y, U, V, angles='xy', scale_units='xy', scale=1, color = 'red', alpha = .6)\n",
    "ax.set_xlim([0, 10])\n",
    "ax.set_ylim([0, 10])\n",
    "ax.set_xlabel('x-axis', fontsize =16)\n",
    "ax.set_ylabel('y-axis', fontsize =16)\n",
    "ax.grid()\n",
    "ax.text(4, 7, '$(4, 7)$', fontsize = 16)\n",
    "ax.text(8, 6, '$(8, 6)$', fontsize = 16)\n",
    "\n",
    "ax.plot([4, 4], [0, 7], c = 'b', lw = 2)\n",
    "ax.plot([0, 4], [0, 0], c= 'b', lw = 2)\n",
    "\n",
    "ax.plot([8, 0], [0, 0], c = 'b', lw = 2)\n",
    "ax.plot([8, 8], [0,6], c= 'b', lw = 2)\n",
    "\n",
    "ax.text(1.7, 3.8, '$\\sqrt{4^2+7^2}$', fontsize = 16, rotation = np.arctan(7/4)*180/np.pi)\n",
    "ax.text(5, 4.1, '$\\sqrt{8^2+6^2}$', fontsize = 16, rotation = np.arctan(6/8)*180/np.pi ) \n",
    "# use arctan to get the rotation degree and convert from radian to degrees\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "There is a NumPy function for computing norms: ```np.linalg.norm()```."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Norm of a and b are 8.0623, 10.0 respectively.\n"
     ]
    }
   ],
   "source": [
    "a = np.array([4, 7])\n",
    "b = np.array([8, 6])\n",
    "a_norm = np.linalg.norm(a)\n",
    "b_norm = np.linalg.norm(b)\n",
    "print('Norm of a and b are {0:.4f}, {1} respectively.'.format(a_norm, b_norm))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's try plotting vectors $(1, 1, 1)$, $(-2, 2, 5)$, $(3, -2, 1)$ in $\\mathbb{R}^3$, however keep in mind that Matplotlib does not have 3D engine, it is simulated by 2D projection."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "vec = np.array([[0, 0, 0, 1, 1, 1], \n",
    "                [0, 0, 0, -2, 2, 5], \n",
    "                [0, 0, 0, 3, -2, 1]])\n",
    "X, Y, Z, U, V, W = zip(*vec)\n",
    "\n",
    "fig = plt.figure(figsize=(10,10))\n",
    "ax = fig.add_subplot(111, projection='3d')\n",
    "\n",
    "ax.quiver(X, Y, Z, U, V, W, length=1, normalize=False, color = 'red', alpha = .6,arrow_length_ratio = .18, pivot = 'tail',\n",
    "          linestyles = 'solid',linewidths = 3)\n",
    "ax.grid()\n",
    "ax.set_xlim([-5, 5])\n",
    "ax.set_ylim([-5, 5])\n",
    "ax.set_zlim([0, 5])\n",
    "\n",
    "ax.text(1, 1, 1, '$(1, 1, 1)$')\n",
    "ax.text(-2, 2, 5, '$(-2, 2, 5)$')\n",
    "ax.text(3, -2, 1, '$(3, -2, 1)$')\n",
    "ax.text(0, 0, 0, '$(0, 0, 0)$')\n",
    "\n",
    "point1 = [1, 1, 1]\n",
    "point2 = [1, 1, 0]\n",
    "vec1 = np.array([point1, point2])\n",
    "X, Y, Z = zip(*vec1)\n",
    "ax.plot(X, Y, Z, lw = 2, color = 'b', alpha = 0.7)\n",
    "\n",
    "point1 = [0, 0, 0]\n",
    "point2 = [1, 1, 0]\n",
    "vec1 = np.array([point1, point2])\n",
    "X, Y, Z = zip(*vec1)\n",
    "ax.plot(X, Y, Z, lw = 2, color = 'b', alpha = 0.7)\n",
    "\n",
    "point1 = [3, -2, 1]\n",
    "point2 = [3, -2, 0]\n",
    "vec1 = np.array([point1, point2])\n",
    "X, Y, Z = zip(*vec1)\n",
    "ax.plot(X, Y, Z, lw = 2, color = 'b', alpha = 0.7)\n",
    "\n",
    "point1 = [0, 0, 0]\n",
    "point2 = [3, -2, 0]\n",
    "vec1 = np.array([point1, point2])\n",
    "X, Y, Z = zip(*vec1)\n",
    "ax.plot(X, Y, Z, lw = 2, color = 'b', alpha = 0.7)\n",
    "\n",
    "point1 = [-2, 2, 5]\n",
    "point2 = [-2, 2, 0]\n",
    "vec1 = np.array([point1, point2])\n",
    "X, Y, Z = zip(*vec1)\n",
    "ax.plot(X, Y, Z, lw = 2, color = 'b', alpha = 0.7)\n",
    "\n",
    "point1 = [0, 0, 0]\n",
    "point2 = [-2, 2, 0]\n",
    "vec1 = np.array([point1, point2])\n",
    "X, Y, Z = zip(*vec1)\n",
    "ax.plot(X, Y, Z, lw = 2, color = 'b', alpha = 0.7)\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Of course we can loop through some of the codes to make it conciser. Readers can experiment on how to shorten the codes."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(10,10))\n",
    "ax = fig.add_subplot(111, projection='3d')\n",
    "\n",
    "vec = np.array([[0, 0, 0, 1, 1, 1], \n",
    "                [0, 0, 0, -2, 2, 5], \n",
    "                [0, 0, 0, 3, -2, 1]])\n",
    "X, Y, Z, U, V, W = zip(*vec)\n",
    "ax.quiver(X, Y, Z, U, V, W, length=1, normalize=False, \n",
    "          color = 'red', alpha = .6,\n",
    "          arrow_length_ratio = .18, pivot = 'tail',\n",
    "          linestyles = 'solid',linewidths = 3)\n",
    "\n",
    "ax.set_xlim([-5, 5])\n",
    "ax.set_ylim([-5, 5])\n",
    "ax.set_zlim([0, 5])\n",
    "\n",
    "ax.text(1, 1, 1, '$(1, 1, 1)$')\n",
    "ax.text(-2, 2, 5, '$(-2, 2, 5)$')\n",
    "ax.text(3, -2, 1, '$(3, -2, 1)$')\n",
    "ax.text(0, 0, 0, '$(0, 0, 0)$')\n",
    "\n",
    "points = np.array([[[1, 1, 1], [1, 1, 0]], \n",
    "                  [[0, 0, 0], [1, 1, 0]], \n",
    "                  [[3, -2, 1],[3, -2, 0]],\n",
    "                  [[0, 0, 0],[3, -2, 0]],\n",
    "                  [[-2, 2, 5],[-2, 2, 0]],\n",
    "                  [[0, 0, 0],[-2, 2, 0]]])\n",
    "\n",
    "for i in range(points.shape[0]): # loop through the 3rd axis\n",
    "    X, Y, Z = zip(*points[i,:,:])\n",
    "    ax.plot(X,Y,Z,lw = 2, color = 'b', alpha = 0.7)\n",
    "ax.grid()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# <font face=\"gotham\" color=\"purple\"> Vector Addition, Subtraction And Scalar Multiplication"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The vector addition is element-wise operation, if we have vectors $\\mathbf{u}$ and $\\mathbf{v}$ addition:\n",
    "\n",
    "$$\\mathbf{u}+\\mathbf{v}=\\left[\\begin{array}{c}\n",
    "u_{1} \\\\\n",
    "u_{2} \\\\\n",
    "\\vdots \\\\\n",
    "u_{n}\n",
    "\\end{array}\\right]+\\left[\\begin{array}{c}\n",
    "v_{1} \\\\\n",
    "v_{2} \\\\\n",
    "\\vdots \\\\\n",
    "v_{n}\n",
    "\\end{array}\\right]=\\left[\\begin{array}{c}\n",
    "u_{1}+v_{1} \\\\\n",
    "u_{2}+v_{2} \\\\\n",
    "\\vdots \\\\\n",
    "u_{n}+v_{n}\n",
    "\\end{array}\\right]$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "And subtraction:\n",
    "$$\\mathbf{u}+(-\\mathbf{v})=\\left[\\begin{array}{c}\n",
    "u_{1} \\\\\n",
    "u_{2} \\\\\n",
    "\\vdots \\\\\n",
    "u_{n}\n",
    "\\end{array}\\right]+\\left[\\begin{array}{c}\n",
    "-v_{1} \\\\\n",
    "-v_{2} \\\\\n",
    "\\vdots \\\\\n",
    "-v_{n}\n",
    "\\end{array}\\right]=\\left[\\begin{array}{c}\n",
    "u_{1}-v_{1} \\\\\n",
    "u_{2}-v_{2} \\\\\n",
    "\\vdots \\\\\n",
    "u_{n}-v_{n}\n",
    "\\end{array}\\right]$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "And the scalar operations:\n",
    "$$c \\mathbf{u}=c\\left[\\begin{array}{c}\n",
    "u_{1} \\\\\n",
    "u_{2} \\\\\n",
    "\\vdots \\\\\n",
    "u_{n}\n",
    "\\end{array}\\right]=\\left[\\begin{array}{c}\n",
    "c u_{1} \\\\\n",
    "c u_{2} \\\\\n",
    "\\vdots \\\\\n",
    "c u_{n}\n",
    "\\end{array}\\right]$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's illustrate vector addition both in $\\mathbb{R}^2$ and $\\mathbb{R}^3$. Codes are straightforward and procedural, we will not attempt to write any OOP codes here, that is not the purpose the course."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 648x648 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize = (9,9))\n",
    "\n",
    "vec = np.array([[[0, 0, 4, 7]],\n",
    "               [[0, 0, 8, 4]],\n",
    "               [[0, 0, 12, 11]],\n",
    "               [[4, 7, 8, 4]],\n",
    "               [[8, 4, 4, 7]]])\n",
    "color = ['r','b','g','b','r']\n",
    "\n",
    "for i in range(vec.shape[0]):\n",
    "    X,Y,U,V = zip(*vec[i,:,:])\n",
    "    ax.quiver(X, Y, U, V, angles='xy', scale_units='xy', color = color[i], scale=1, alpha = .6)\n",
    "\n",
    "ax.set_xlim([0, 15])\n",
    "ax.set_ylim([0, 15])\n",
    "ax.set_xlabel('x-axis', fontsize =16)\n",
    "ax.set_ylabel('y-axis', fontsize =16)\n",
    "ax.grid()\n",
    "\n",
    "for i in range(3):\n",
    "    ax.text(x = vec[i,0,2], y = vec[i,0,3], s = '(%.0d, %.0d)' %(vec[i,0,2],vec[i,0,3]), fontsize = 16)\n",
    "\n",
    "ax.text(x= vec[0,0,2]/2, y = vec[0,0,3]/2, s= '$u$', fontsize = 16)\n",
    "ax.text(x= 8, y = 9, s= '$v$', fontsize = 16)\n",
    "ax.text(x= 6, y = 5.5, s= '$u+v$', fontsize = 16)\n",
    "\n",
    "ax.set_title('Vector Addition', size = 18)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The illustration of $\\mathbf{u}-\\mathbf{v}$ is exactly its equivalence $\\mathbf{u}+(-\\mathbf{v})$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 648x648 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(9, 9))\n",
    "\n",
    "vec = np.array([[[0, 0, 4, 7]],\n",
    "               [[0, 0, 8, 4]],\n",
    "               [[0, 0, -8, -4]],\n",
    "               [[0, 0, -4, 3]],\n",
    "               [[-8, -4, 4, 7]],\n",
    "               [[4, 7, -8, -4]],\n",
    "               [[8, 4, -4, 3]]])\n",
    "color = ['r','b','b','g','r','b','g']\n",
    "\n",
    "for i in range(vec.shape[0]):\n",
    "    X,Y,U,V = zip(*vec[i,:,:])\n",
    "    ax.quiver(X, Y, U, V, angles='xy', scale_units='xy', color = color[i], scale=1, alpha = .6)\n",
    "\n",
    "for i in range(4):\n",
    "    ax.text(x = vec[i,0,2], y = vec[i,0,3], s = '(%.0d, %.0d)' %(vec[i,0,2],vec[i,0,3]), fontsize = 16)\n",
    "\n",
    "s = ['$u$','$v$','$-v$','$u-v$']\n",
    "for i in range(4):\n",
    "    ax.text(x = vec[i,0, 2]/2, y = vec[i,0, 3]/2, s = s[i], fontsize = 16)\n",
    "ax.text(x= 5.8 , y = 5.8, s= '$u-v$', fontsize = 16)\n",
    "\n",
    "ax.set_xlim([-9, 9])\n",
    "ax.set_ylim([-9, 9])\n",
    "ax.set_xlabel('x-axis', fontsize =16)\n",
    "ax.set_ylabel('y-axis', fontsize =16)\n",
    "ax.grid()\n",
    "ax.set_title('Vector Subtraction', size = 18)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The real number $c$ in front of vectors are scalars, which are scaling the vectors as its name implies."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 648x648 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(9, 9))\n",
    "\n",
    "vec = np.array([[[0, 0, 2, 3]],\n",
    "               [[0, 0, 6, 9]],\n",
    "               [[0, 0, 2, 2]],\n",
    "               [[0, 0, 8, 8]]])\n",
    "colors = ['r','b', 'r', 'b']\n",
    "\n",
    "for i in range(vec.shape[0]):\n",
    "    X,Y,U,V = zip(*vec[i,:,:])\n",
    "    ax.quiver(X, Y, U, V, angles='xy', scale_units='xy', \n",
    "              color = color[i], scale=1, alpha = .6, zorder = -i)\n",
    "\n",
    "s = ['$u$', '$3u$', '$v$', '$3v$']  \n",
    "for i in range(vec.shape[0]):\n",
    "    ax.text(x = vec[i,0, 2], y = vec[i, 0, 3], \n",
    "            s = '(%.0d, %.0d)' %(vec[i,0, 2], vec[i,0, 3]), fontsize = 16)\n",
    "    ax.text(x = vec[i,0, 2]/2, y = vec[i,0, 3]/2, \n",
    "            s = s[i], fontsize = 20)\n",
    "\n",
    "\n",
    "ax.set_xlim([0, 10])\n",
    "ax.set_ylim([0, 10])\n",
    "ax.set_xlabel('x-axis', fontsize =16)\n",
    "ax.set_ylabel('y-axis', fontsize =16)\n",
    "ax.grid()\n",
    "\n",
    "ax.set_title('Vector Multiplication', size = 18)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now let's challenge ourselves for plotting in 3D."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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A8S4Au2IeK3ahDOBsKuNJAPtWf69aPXZmEIm4vQjgROx6EadrB5Gai7cROcaHERE8X0vw2a7peEmyf+s+HjFdRavbDq2+f57V9+O/JVnPRo+1FxARxJevvv/B1c/wupjXWPd1V7edQCSa5Fp9H/sA/J3s98dXX8+HiMj4P4hE0GI/i/MRcVMOyF8HMV1Fq9tqESksX1xdfxeAm2IeI37eu9fbL/Zva/wTT+wMBoPB2EKQyBwpDaX03fleC4ORSViNC4PBYDAYjIKBCRcGg8FgMBgFA0sVMRgMBoPBKBhYxIXBYDAYDEbBsF47NAvHMBgMBoPByDXx/J8AsIgLg8FgMBiMAoIJFwaDwWAwGAUDEy4MBoPBYDAKBiZcGAwGg8FgFAxMuDAYDAaDwSgYmHBhMBgMBoNRMDDhwmAwGAwGo2BgwoXBYDAYDEbBwIQLg8FgMBiMgoEJFwaDwWAwGAUDEy4MBoPBYDAKBiZcGAwGg8FgFAxMuDAYDAaDwSgYmHBhMBgMBoNRMDDhwmAwGAwGo2BgwoXBYDAYDEbBwIQLg8FgMBiMgoEJFwaDwWAwGAUDEy4MBoPBYDAKBiZcGAwGg8FgFAxMuDAYDAaDwSgYmHBhMBgMBoNRMDDhwmAwGAwGo2BgwoXBYDAYDEbBwIQLg8FgMBiMgoEJFwaDwWAwGAUDEy4MBoPBYDAKBiZcGAwGg8FgFAxMuDAYDAaDwSgYmHBhMBgMBoNRMDDhwmAwGAwGo2BgwoXBYDAYDEbBwIQLg8FgMBiMgoEJFwaDwWAwGAUDEy4MBoPBYDAKBiZcGAwGg8FgFAxMuDAYDAaDwSgYmHBhMBgMBoNRMDDhwmAwGAwGo2BgwoXBYDAYDEbBwIQLg5FHKKUIh8OglOZ7KQwGg1EQaPK9AAZju0IpBcdx8Pv9IIRAq9VCo9FArVZDpVKBEJLvJTIYDIbiIOvc6bHbQAYjC4TDYYRCIVBKEQqFAACCIEiRF47joNVqYTaboVarQQhhQobBYGwnEp7wWMSFwcghlFK43W4pwiKKEUII1Gq19LjZ2VlQSiXBolKpoNFooNVqmZBhMBjbGiZcGIwcIQgCQqEQhoaGUFtbi/Ly8oS1LaIo0Wg0UVEYjuMAYI2QUalYuRqDwdgeMOHCYGQZsQBXTAnJIyVerxcTExMoLS2FxWKBVquVHiMKFvHxYkSGCRkGg7GdYcKFwcgiYg1LOByW0juiKJmensb4+DgaGhqwsrKCiYkJUEpRWloKSil0Ol3c54wnZMRCX7mQiS32ZTAYjK0AK85lMLKEIAjgOC6qVgUAent74fF4oNfrceDAAQiCIP2O53ksLy9jamoKXq8Xer0eFotF+ievg0mEKGTk320mZBgMRoGRsIiPCRcGI8PIU0OxRbTLy8t48803UVdXh/3790uRkthC29nZWXAch7q6OrhcLjidTiwvL4MQgrKyMlgsFpSWlm5IyFBKo9JKGo2GFfoyGAylwbqKGIxcIAoRMYoiCgJKKcbHxzE7O4vq6mpYrdakzyOmkzQaDSoqKlBRUQEACIVCcLlcWFxcxPDwMNRqdZSQiRdJiRVPlFIIgoBAICBtU6vVUREZJmQYDIZSYcKFwcgQiVJDHMfBZrPBaDSio6MDw8PD6zrlyotz5Wi1WlRWVqKyslJ6bpfLhfn5eQwNDUGj0aCsrAxlZWUwm81MyDAYjC0HEy4MxiahlILnefA8L3muiCwtLaGvrw979uxBVVUVgMSiZCPodDpUVVVJzx0MBuF0OnHmzBn09/dDp9NJQqa4uJgJGQaDUfAw4cJgbALRmyU2NSQIAoaHh+FyudDa2oqioiLpb1IRLhsVN3q9HjU1NaipqQEABAIBOJ1OTE1NSQXBciETT4AkEjLiaAKACRkGg5E/mHBhMDZAPG8W8eLt9/ths9lgtVrR1ta25qKeTeESS1FREWpra1FbWyutzel0YmJiAl6vF0VFRZKQMZlMSYWMGK2JJ2Q0Go30jwkZBoORTZhwYTDSJDY1JL9Iz83NYWhoCAcPHkRZWVncv48VJbm8yBsMBhgMBtTV1YFSKgmZsbEx+Hw+GI1GWCwWlJWVwWg0pixk5F1UAKSuJY1GwwZGMhiMjMKEC4ORBolSQ+FwGP39/QgGg2hvb09oHpcqmayDSfYaRqMRRqMR9fX1oJTC5/PB6XRiZGQEPp8PxcXFkpAxGAxpCRme56VCZSZkGAxGpmDChcFIgdjUkLzI1ePxwGazob6+HgcOHFj3opzLVFE6EEJgMplgMpnQ0NAASim8Xi+cTieGhoYQCARQXFwstV8bDIaEzxNbIyMKGfH3wWAQpaWlTMgwGIy0YcKFwViHeLb94vbp6WlMTEzgyJEjMJvNKT1fPkTJRiCEoLi4GMXFxWhsbASlFB6PB06nEwMDAwgGgzCbzVKNjF6vT/g8sULGZrOhtbVV+r28RoYJGQaDkQwmXBiMJCTyZuF5Ht3d3VCr1ejo6IBGk/pXKVa4iM+d7DFKgBACs9kMs9mMpqYmCIIAt9sNp9OJ3t5ecByHkpISScgkm7VECImatRQKhaIKnWMHRjIhw2AwRJhwYTDikMybZXl5Gd3d3WhpaZG6ddJBqamidFGpVCgtLUVpaSmAiMhbWVmB0+nEzMwMeJ6XhIzFYkkqZOSjC+IJmdg5S0zIMBjbFyZcGIwYktn2j42NYW5uDsePH4fRaNzQ8xNCIAjCuo8pNFQqlTQMEogULItCZmpqCuFwGKWlpSgrK0sqyuIJGY7jEAwGpdcRhYw4Z6kQ3y8Gg7ExmHBhMGSIUZbY1FAwGITNZoPZbEZHR8empivHi6bESxcpPeKyHuIcJbEtPBwOY3l5GU6nE36/H2+88YYkZCwWS8J0WzIhI35GWq1WSi0xIcNgbG2YcGEwkDw1tLi4iP7+fuzdu1eaEbQZ5MJFvMjGipRCSBWli1qtRnl5OcrLy+FwOHD8+HFJyIyNjYEQIkVsLBZLwsnXsfUxQGRmE8dxACIRmdgaGQaDsXVgwoWx7Ulm2z84OAi32422traEXTPZYCsKl1g0Gg2sVqs0KZvnebhcLjgcDoyOjoIQEjX5Op6QkY8gAJiQYTC2A0y4MLYtybxZfD4fbDYbKisr0dramtHUw3YQJRtBo9GgoqICFRUVAIBQKASXy4XFxUUMDw9LqSdRyCQaGAlECxkxtSQXMrHFvgwGo3BgwoWxLUnkzQIAs7OzGB4exqFDh6RC00yyVbqKso1Wq0VlZaWUnuM4Di6XC/Pz8xgaGoJGo5FqaMxmc8qTrymlCAaDcYt9mZBhMJQPEy6MbUcib5ZwOIze3l7wPI+Ojg5otdqsvD4TLhtDp9OhqqoKVVVVACIF006nE2fOnEF/fz90Ol2UkEl18nWskBEnX6vVaqlricFgKAcmXBjbhmQFuG63G3a7HQ0NDWhoaMjqxYqJksyg1+tRU1ODmpoaAEAgEJBarz0eD/R6vSRkiouLUxYygiAgEAhIwlYUMmzyNYOhDJhwYWwLKKVYWlqCx+NBTU1NlDfL5OQkpqenceTIERQXF2d9LSzikh2KiopQW1srmQKKk68nJibg9XphMBikgZEmkyltISPChAyDkV+YcGFsecQCXL/fj5WVFenCFgqF0N3dDa1Wi46OjoTtt5mGCZfcYDAYYDAYUFdXB0qpJGTGxsbg9XphMpkkIWM0GpmQYTAKBCZcGFuW2NSQWq2WxIDT6URPTw927dolpRpyBRMluYcQAqPRCKPRiPr6elBK4fP54HQ6MTIyAp/Ph+LiYknIGAyGtISM3++P6mhiQobByB5MuDC2JPG8WVQqFcLhMIaHh7G4uIiTJ0/CYDDkZX0s4pJfCCEwmUwwmUxoaGgApRRerxdOpxNDQ0MIBAIoLi6W2q8THSfyYws4K2Tm5+fhcrnQ1NQUNfmaCRkGY/Mw4cLYUsR6s8jvkEOhEObn51FfX4/29va8tb2mcuFiwiW3EEJQXFyM4uJiNDY2glIKj8cDp9OJgYEBBINBmM1mqdg3kRlh7ARxUSyHQiFpu9wMjwkZBiN9mHBhbBmSebMsLCygr68PZrMZe/fuzeMq14oSJlKUByEEZrMZZrMZTU1NEAQBbrcbTqcTvb294DhOmnxdVla2ZvK1vNU+NiITDofB87z0WFHIaDQaNvmawUgBJlwYW4JE3iyCIGBgYABerxeHDh3C9PR0nlfKinMLEZVKhdLSUpSWlgKIHFfi5OuZmRnwPC8JGYvFkvCzi1cjIxcyhJCo1BITMgzGWphwYRQ08tRQrDeL1+uFzWZDdXU19u3bB6/XqwgxwIRL4aNSqaRhkECkc00UMlNTUwgGg9BoNFhYWIDFYkloZhhPyPA8H5XqZEKGwYiGCRdGwSLOoIkdjggAMzMzGBsbw6FDh6S7ZKWIgVTXoYS1MlJDnKNUVlYGAJifn8fCwgJWVlYwMTEBSilKS0uliIxGE//UG0/IhEIhJmQYDBlMuDAKkkSpIZ7n0dvbC0EQ0NHREXWBKCThwi5GhY3Yft3S0gIgclwuLy9LPjKEECliY7FYEnoIiW38IvGETOycJXbsMLY6TLgwCopktv0rKyuw2+1oampCfX39mhO4SqWCIAi5XvIaWKpo+6HRaGC1WmG1WgFEhIzL5YLD4cDo6CgIIVGTr9MRMhzHIRgMSgJeFDLinCUmZBhbDSZcGAVDPG8WIHLynpiYwMzMDI4ePZrQtl9JYoClirY2YiQwERqNBhUVFaioqAAQadV3uVxYXFzE8PBwVOqppKQkYet+MiEDnJ18LbZfMyHD2Aow4cJQPMm8WTiOg91uR1FR0bq2/SqVShFiIFUfF0bhsp5wiUWr1aKyshKVlZUAIse1y+XC3NwcBgcHodFooiZfpyJkxGOd4zhwHAcg8h2Q+8jky8uIwdgMTLgwFE1sakh+MXA4HOjt7cXu3btRXV297nMRQliqiJET0hUuseh0OlRVVaGqqgoAEAwGpdZrt9sNnU4XJWQSjScAwIQMY8vBhAtDsSRLDQ0PD8PhcKC1tRVFRUUpPZ9SxIBS1sEoHPR6PWpqaqS5WoFAQGq99ng80Ov1kpApLi5mQoaxpWHChaE4YlND8pNnIBBAV1cXysvL0d7entZdbaEV5zIKl81GXNajqKgItbW10qRzcfL1xMQEvF4vDAaDNDDSZDKlLGTEGhm5kIntWmIw8g0TLgxFkcy2f35+HoODgzhw4ADKy8vTfm6liIF4lv+MrUW2hUssBoMBBoMBdXV1oJRKQmZsbAxerxcmk0kSMkajMeXJ15RSBINBqdhXnHytVqulriUGI9cw4cJQDMls+/v7++H3+9He3r5mLkyhwVJFjGwiesgYjUbU19eDUgqfzwen04mRkRH4fL41k69TFTKCICAQCEjbeJ6HXq+HwWBgAyMZOYMJF0beSebN4vF4YLPZUFdXh/3792+JEyMTLlufXEdckkEIgclkgslkQkNDAyil8Hq9cDqdGBoaQiAQWCNkEj1PrJCZnJxEaWmpFAEVIzJiakkp7wFja8GECyOvJLPtn56exvj4OA4fPoySkpI8rjKzMOGy9aGUKrYehBCC4uJiFBcXo7GxEZRSuN1uuFwuDAwMIBgMwmw2S8W+er0+4fNQSiWREi8iw4QMIxsw4cLIG2KUJZ5tf09PDwgha2z7txqUUkxNTSEcDqO8vDxh/QGjsCgkYUoIQUlJCUpKStDU1ARBEOB2u+F0OtHb2wuO46TJ12VlZVGpWnlkKVFqye/3RxUCMyHD2Cxb94rAUCzJUkPLy8vo7u7Gjh07UFdXl8dVZg/xTlU0z9Pr9SgqKpLqD8S7XSV0QDE2TqFelFUqFUpLS6XhpIIgSJOvZ2ZmwPO8JGR4nk9qhif/fjMhw8gUTLgwckoyb5bx8XHMzs7i2LFjMJlMeV5p9iCEIBQK4fTp09i9ezesVit4no8K2zudTgQCAbz++uvSVOGysjJotdp8L5+RAkqqcdksKpVKGgYJAOFwWBIyDocDbrdbOj4tFkvCYzQVISOffM2EDCMRTLgwckIybxaO42Cz2WAymdDR0aHY2oBMIAq0QCCA888/H0ajETzPS7+Xh+3n5+fR2toqTRWenJwEpVRqa002VZiRXwopVZQu8jlKgUAADQ0N4Hle8pGhlEpi22KxJEz1xhMy4XA46vsgmuFpNBo2+ZohwYQLI+sk82ZZWlpCX18f9u7dK81p2aqEQiEpNSS2q66HSqWSLhJA9FThkZGRlIfxMXLLVoq4JEMQBGg0GpSUlEidRTzPS2J7bGwMhBApYpNMbMerkZELGUJIVESGCZntCxMujKzC8zzcbjeKiorWeLMMDQ1heXk5Ldv+QmV5eRl2ux27du1CTU0NXnnllQ09T+xUYY7j4HQ6MTs7i4GBgZSs3xm5YTu89/EEmkajgdVqhdVqBRAttkdHR0EIkaIxpaWlaQkZnuejhq0yIbM9YcKFkRXEk4zb7UZ/fz9Onjwp/c7v96OrqwsVFRVoa2vL+ckml3fDlFJMTExgZmYGJ06cSCnKkg46nQ7V1dXSkEm59bvH44HJZJKETCKjMUbm2U4Rl/WifLFiOxQKweVyYXFxEcPDwylHDZmQYYgw4cLIOHJvFtHfQWR2dhbDw8M4ePCglP7IJWJHTy5OaGJqSKfToaOjI+mdZaaItX6PNRpLxZ+DsXm2co2LnI18l7RaLSorK6XUMMdxcLlcmJubw+DgIDQaTdTk63SETCgUWiNk5AMjmZDZGjDhwsgoYgGueEJTq9UQBAHhcBh9fX3gOA4dHR15647Jlfmb2Nbd0tIiDcLLNbFGY3J/jp6eHvA8H9WxtJX9cvLBdrhIphJxWQ+dToeqqipUVVUBAILBoNR67Xa7odPpooRMovdVPN+IxBMyYqGvOGdpO3xGWxF2pmJkhETeLGLr7+uvv476+no0Njbm9WSRbeEi2qBPT08rrq1b7s+xY8cOhMNhqYhyfHxcKqIsKytLWnvAWJ/tkirKxn7q9XrU1NSgpqYGQGQivNPpxNTUFDweD4qKiqTjNFkdVzwhw3GcNDBSnHwtRmSYkCkcmHBhbJpk3iwzMzPwer0499xzYTab87zSyMkqW8ZuPM/DbrdDo9EkTQ0pBbVajfLycqkbJLb2INWQPWMt2ylVlO3joqioCLW1tVLkMraOy2g0SkLGZDKlJGTEz0cUMuLNVmxqiaFMmHBhbJhYbxa5aAmFQuju7oZGo4HRaFSEaAGyF3FZWVmB3W4vaMff2NqD2JB9UVGRJGSSXSAYEbbD+5OPyFJsHZcoZMbGxuD1emEymSQhk2iEhty5V9wPICJkOI4DACZkFAwTLowNkcybxeVyoaenR6rv2GjrbzbItHARZw1NTU3h6NGjKC4uzthz5xt5yD7eBUKcKCx2LDHOsl1SRfmGECJ5ItXX14NSCp/PB6fTKY3QiJ18vVEh4/V6UVJSgqKiIiZk8gwTLoy0EQQBHMetGY5IKcXo6CgWFhZw/PjxjLf+ZoJMpop4nkd3dzfUanXWUkNKuQDGu0B4PB44nU5ponCiQXzbEaV8btsNQghMJhNMJhMaGhridtbFCplEzwNEC5mxsTHs2rUL4XAYwNkaGXE8ARMyuYMJF0bKyFNDscMRg8EgbDYbzGYz2tvbFfslzlTExe12w2azobm5GfX19RlYWWFBCIHZbIbZbJYmCovza6anpxEOh6NGE7COJUY+iO2sE2eBuVwuSXCnYhFACIEgCFLaiFIKSimCweCaYl951xIjO7CzCSMl5N4ssamhxcVF9Pf3Y9++fZLJlFLZrHChlGJ6ehoTExNZTw3l0nNms8gH8bW0tCAcDsPlckXZvosXB3Hq8FamUD637YZ8FpgouEWLgN7eXnAclzByKG/9juchIxcylNKo+hgmZDILEy6MdUmUGhIEAYODg3C73WhraysIQ7PNpIp4nkdPTw8AoKOjI+tRhFx5zmQDtVodZfseCoXgdDoxPz+PwcFB+P1+jI+Po7y8fEuOJmDCpTCQWwQAiIoczszMgOd5ScjwPJ+WGZ4gCAgEAtI2tVodlVpix8fGYcKFkZBE3iwA4PP5YLPZUFVVhdbW1oL5Em5UDHg8HnR1daGpqQkNDQ0ZX9NWR6vVRpmMvfbaa9DpdFEtrWVlZSgvL98SowmYcClM5JFDIGKoKQoZv9+PN998M2rydSIjTSZksgsTLoy4JPJmAYAzZ85gdHQUBw8elL7ghcJGhMv09DTGx8dx5MiRnLZ1F3LEZT1UKpXkzSHvBBkaGoLf75fqDsrLywsiksfYmsjnKC0uLuLkyZOSaePExAQopVGTrxNFYRMJGb/fH1UIzIRMajDhwogimTdLOBxGb28veJ5He3t7yrb9SqrVSCdVFA6H0dPTA0EQcpIaimUrCxc58TpB3G43HA6HNJqgpKQE5eXlSe9ylYRSjndGZok1beR5XhIyYi2XXMisN/lajGIzIZMeTLgwJGJTQ/IvithF09TUhPr6+rS+RGJFvhKcZFMVAx6PBzabDQ0NDWhoaMjKSYNd3OIjL6AURxOsrKzA4XBE3eWWl5crdjTBdvhst4OoXg+NRhNVy8XzPFwuFxwOB0ZHR6WidIvFkvRYTUXIyCdfb3chw4QLA0By235x9s5Gu2jEKIcSLjCpCJeZmRmMjY3h8OHDKCkpyeo6kp18tkvEZT3k4Xrg7MVBHE0g/r68vJyNJsgh20GcpYtGo0FFRYXUXRk7RkN+LJeUlKxb7CsXMnIrCvG1xIjMdpt8zYTLNic2NST/IoVCIdjtduj1+k0ZrGVzPlC6JFuLPBWW7dRQKicZJlziE3tx4DguajSBXq+XhEy+RhNsh4t6JiZDFxIb+Txjx2hwHAeXy4W5uTkMDg6mPA8skZDheV6aFyVPLW11IcOEyzYmmW2/0+lET08Pdu/ejerq6k29jkqlUswFOJEY8Hq96OrqytkEazF9luzEz4RLauh0OlRXV0vHabzZNfKOpVywHYTLdthHkUx9D3U6XVR3Xew8MJ1OFyVkkg2MjC32FYWM+Ht5ammrCRkmXLYpyWz7R0ZGpAr6TJzolRRxiScGxC6pbKaGGLkjdgifaPke65RaXl6etdEE20Fw5mIytFLIVnRJPg8MAAKBAJxOJ6ampuDxeFBUVCQ5UCfzO4onZHiej2qy2EpChgmXbUYyb5ZAIACbzQaLxZJR234lCRf5WsLhMPr6+sBxXFpdUpkglWgKi7hsnljLd9Ep1eFwwG63IxwOo7S0VOpYymR6sJAvDKkg1sNtB8LhcE5EWlFRkWQTAJyNHsr9jkQhkywNGk/IhEKhNUJGPvm6kD5LJly2Ecls+0VH0/3790sV8plCTIsoAVEM+Hw+dHZ2oq6uDk1NTTn/0saKknivz4RL5pE7pYqjCZaXl+FwOKLaWcvLy1FSUrLhuq7tkEbZTjUu+WouiI0eJkqDWiwWGI3GpEJGvv54QiZ2YKSSj18mXLYJYpQlnm1/f38/fD4f2tvbsxI6V1LEhRACl8sldQ3la24OEyXKINaXQ+wCmZ+fx9DQkFQ8KXYspXoy3w7CZTvso4gSRBohaye0i8aNIyMj8Pv9UUImmQN1PCHDcVzUwEiVSgWdTgetVrvmRjffMOGyxUmWGvJ6vbDZbKipqcH+/fuzdmAqRbgIgoC5uTmEQiF0dHTk1ciMpYqUSWwXSDAYhMPhwNTUFNxuNwwGA8rLy1FWVpb0Dnc7fG5MuOSXeMaNYj3X0NAQAoEAiouLo4RMsueKFTI2mw3Nzc1SSkqr1UqppXwLGSZctjDJbPtFr5JDhw5lPeqghK4in8+Hrq4uFBUVoaqqKu/uq0y4FAZ6vT5qNIHf74fD4cDIyAh8Ph+Ki4slIVNUVBT1t1v9oq7Ei3m2KIR9ja3nEh2oXS7XmsL0srKypKM0xPS+Xq+X9pvjOHAchz/84Q8YGxvDF7/4xVzt2hqYcNmCJPNmyfWEY/H18xlxmZubw9DQEA4dOgSfzweO4/K2FhEmSgoPeahevMP1eDxwOBxSkbc4gE+0GNjKbKeIS66KczOJ3IG6qalJKkx3Op3o7e0Fx3HS5OuysrI1ZQLiPstHEADA4uJi1LDIfMCEyxYjmTfLysoK7HY7mpubUV9fn7M15as4V6zf8fv9Uv2O3+9XRNqKGdAVPoQQmM1mmM1mNDc3QxAEaW6N1+vF22+/LV0Uks2tKVQKIQqRKZTi/L0Z5IXpQGSfxMnXMzMz0kww8ZgNh8Nx99nj8WzIQT2TMOGyhRAEAU6nE5OTk1E1K5RSjI+P48yZMzh27BhMJlNO15WPiIvf70dXVxeqqqqi3gsliQHxPUlWQKeUtTLWR6VSSSd9p9OJI0eOSDOWRkZGUrZ7LxS2U8RlK4o0lUolDYMEIM0EE31kvF4vhoaGJOEtptd9Pl9Ob3zjwYTLFiC2ADcYDEonFI7jYLfbYTAYcM455+Tly5dr4SK2dh88eFCab5OvtSRiu5zwtyuU0rijCVwuF2ZnZzEwMCCNJljPXEypbMWLeSK2w77GzgR7/fXXUVFRIZk3fulLX0Jrays0Gg0aGxs39Bof//jH8fjjj6Oqqgp2ux0A4HA4cN1112FsbAw7duzAr371qzXn7Vi29iexDRDb2ETRolarpQuzw+HA6dOn0dDQgAMHDuTti5crsSAIAvr6+jA5OYn29va4B79SohisOHdrEy8aIdq979+/Hx0dHdi7dy80Gg0mJibw+uuvw2azYXp6Gj6fryA+dxZx2doQQlBeXo5du3bh/PPPx+9+9zu8733vw8jICL71rW/h/PPPx1e+8hU888wz8Hq9KT3nrbfeiqeeeipq27e+9S1cfPHFGBwcxMUXX4xvfetb6z7P9vokthjhcBjBYDCqa0ilUoHneQwODmJoaAitra3SXIx8kYuuIr/fj9OnT0On0+HkyZMJ/WiUIgaYcGGIxmKHDh1CR0cHdu7cCUEQMDQ0hNOnT6Onpwezs7OSt4bSYMJlaxN77ikrK8Nf/uVfYs+ePbjjjjvwxBNP4LzzzsNTTz2F973vfXjmmWfWfc4LL7xQ8kwSefTRR3HLLbcAAG655RY88sgj6z4PSxUVIMm8WTiOw8rKCsrLy9He3q6IE4soprLFwsICBgYG4qaGYlGKi2+sKEl0EWDCpXBJ57sn9+QQRxOIHUs9PT3geV7qWJLXG+ST7XQxD4fDinjPc0UyUSo69losFlx22WW47LLLNvVac3Nz0oiD2tpazM/Pr/s3TLgUGMm8WcS2X71ej927d+dxldFkSywIgoDBwUG43e6UXX+V4CkDpG75z9ieqFQqqZV1x44d0mgCcW4NpVSqRygtLc1Lx8t2i7gUeldROiTqKAIiwsVsNud4RdEw4VIgxHqzyEVLOBxGf38/AoEA2tvb8cYbb+RzqWvIRo1LIBBAV1cXrFYrWltbUz6BKiX9wlJFjHSIHU3A8zycTicWFxcxPDwsjSYoKyuD2WzOSSRkO0VcttO+AusLl0y2Q1dXV+PMmTOora3FmTNnUiptYMKlAEjmzeLxeGCz2VBXV4cDBw4o8g4o08JFTA0dOHBgTb50PQpNDBTSWhm5Q6PRrBlNIPpxuN1uFBUVSUIm2RThzUAp3TYXcyZczpLpiMvll1+Ou+++G3//93+Pu+++G1dcccW6f8OEi8IRBAEcx60ZjkgpxfT0NCYmJnD48GGUlJTkeaWJyVR6RixcXF5eRltbW1LL6mRrUWKNS6LHMBipoNfrUVNTg5qamrhThMWZNWVlZUln1qSDIAg5cd5WAky4nMXv92/4GLrhhhvwwgsvYHFxEQ0NDfj617+Ov//7v8e1116L//zP/0RTUxMefPDBdZ9nexx1BYg8NRRbgMvzPLq7u6FSqXJm278ZMiEWxNRQeXk52traNnxRV0rEhaWKGNki3hRhj8cj+XEEg8GkVu+psp1qXArR8n8zJBMum4m0/fKXv4y7/fnnn0/reZR9xdumiN4s8Qpwl5eX0d3djR07dqCuri6Pq0ydzQqXxcVF9Pf3Y//+/bBarZteixLEgFyUiBcWk8m05oSghLUyChv5aAJxZo3okDo9PY1wOAyLxSJ1LKV6I7SdohCsODeCUs5HTLgojGSpobGxMczNzeH48eMwGo15XmnqbLSriFKKoaEhuFyuDaeGMrWWTCMKl2AwiK6uLhBCEAgEYDAYUFZWlnbtDoORKnKr95aWFoTDYbhcLim1RAiJ6lhKJE62U8RlO4k0IHnEJfZmOh8w4aIQknmzBINB2O12mEwmdHR0rPsFEi/OSvmibSTiIl7QLRbLplJDsSgl/UIIgcfjwcDAAPbu3SvVKPl8PjidTgwNDWFlZQUmkwmCIKC8vHxb+UgwcodarYbVapWimaFQCE6nUxqdodVqUV5eLnUsyW+m8n0ByxVKOp/mAhZxYaxLstTQ0tIS+vr6sHfvXqmDYD1EoaCUL1q6wkXc53379klzXvK1lmxAKcXy8jL8fj/a2tpQVFQEjuOiTMgaGhowOjoKICJmpqenIQgCLBYLysvL8+bdwdj6aLVaVFVVSW2pgUBAGrzndrthNBpRVlYWNRNtq6Ok82kuSFTTs5nC3EzChEseSebNIu+gaW1tRVFRUcrPK59XpARSrSuhlGJ4eBgOhyPtfU6VfEdcxMLqUCiEXbt2wWAwJFyPSqWSukVaWlrA8zxcLpfk3SG/Ey7EIX2MwqCoqAi1tbWora0FpVSKCi4vL8Plckn1MWVlZVn5ziqB7Shc4qXmRdfcfMOES56ITQ3JLzo+nw82mw0VFRUbSpOoVCqEw+FML3nDpBLlEFNDpaWlaGtry9pJIp/CRfTcaWpqQiAQSCnlJyd22rB4JzwxMQGPxyO1vJaXl2/ZCwgjv8ijgh6PB7W1tSCEwOl0oq+vDxzHSaMJysrKtkx6czsKl3gRXbGJIN8w4ZIHktn2z87OYnh4OKW5O4lQQjpEznrrcTgc6O3tTSsdlq21ZIvZ2VmMjIzgyJEjMJvNGBkZ2XQ7dOydsNjyKl5A5HfCSm+ZZxQeYlus2WxGSUkJmpubIQiCNJpgcnISlNKojqVCTm9up4hmIuHCIi7bkNjUkFzBh8Nh6YLT0dGxqTsVpaWKEnXyUEoxMjKCxcXFrKWG4q0llxEXQRAwMDAAn8+H9vZ26XNNdR2prjW25VU+22Z8fFwaUV9eXp4zS3jG1iZeFEKlUkliGYCU3nQ4HBgZGYFarZZ+X1JSwo5DhZKo/TvTdv8bhQmXHJHMtt/tdsNut6OhoQENDQ2bVvaFkCriOA5dXV0wm81ob2/P2Qksl3dNomleRUUF9u3bF/Xa2XbOjZ1tw3HcGkt4sT7GaDRuq7tJRmZIpasoNr0pHoezs7MYGBiAXq+XhAyr01IOySIuTLhsE5J5s0xNTWFqagqHDx/O2PwHpaWKYk9GTqcTPT092LNnT0oDtQoRMf2VyDQv1865Op0O1dXVqK6ulizhxbtgv98Ps9ks1cds1EmVsb3YSDu0/DgEII0mEOu0TCZT1GgCpQgZpbQB5wqWKtrGJPNmCYVC6O7uhlarRUdHR0Zzv0pLFYlQSjE6OoqFhQWcPHlSEW11mUY0Cpyfn0+a/sp0qigd5JbwDQ0NEAQBbrcbDocDdrudtV0zUiITBasGgwEGgwF1dXWglMLr9Uo+RoFAQBLUZWVlGTGgZKRGsuJcFnHZwiTzZnG5XOju7sauXbtQU1OT8ddWWqoIiJzk3nrrLZhMppymhnIJz/Ow2WwoKipadx9jhUu8O8tc1eOoVCqUlpaitLQ0btu1RqOR0k4snM8QybQBHSEExcXFKC4uRmNjoySoxQgtz/NRHUu5KjjfTkZ7IomEi8/nY8JlqyJGWeKlhsSIw4kTJ7Jm26+0VJHL5YLP58PevXu3bGrI7XbDZrOhpaUFtbW16z4+ldED+Wrdjq1LCAaDcDgcUeF8sT5mK0bNNst2SStku0VYLqh37NgRVXA+MTEBAFLHUjYjg9utFRpIbEDn9XoVMY6ECZcMsp5tv+hTku2Ig1JSRfL5SkajccuKlpmZGYyNjeHo0aNp3Y3kK1WULnq9Pqrt2uv1wuFwSJOGS0tLJSHD2q6V8ZnlglxHImILzkOh0JrIoFinJR9NsFm2o3AB4keBWY3LFiOZN8vCwgIGBgayYmEfDyWkikKhEGw2GwwGAzo6OvDqq6/mdT3ZQBCEqBb2dC7aqZxUlRielofzxUnDy8vLcDgcUtu1ePHYzu2uSvzsMk2+L+harRaVlZWS91MwGJQmXoudc2JayWQybfgzyfd+5oNE75XH48lYE8lmYMJlkyTzZhE9PDweT8amG6eCSqWS1pMPxBqe3bt3S90DWw2/34+uri5UV1fjwIEDaZ8UY9NA8e5e8z2eIBVifTvEAX3ydlfxLnm7tF1vp5oIJe2nOB6jpqZG6pwTJ16LbbzyjqVU2Y7CJdF5h9W4bAGSebP4fD7pwhbr4ZFt1Go1gsFgzl5PhFKK8fFxzM7Oxq3h2Son9MXFRfT392/K3TjX7dC5InZAn7zt2ufzwWw2o7y8XBGpzGyxVY7zQkbeOVdfXx/lLC2mOEtKSiQhk8wCIFG9x1Yl2TmHpYoKHEEQMDU1BZ1OB4vFEnWiEmseDh06hNLS0pyvLR+polAoBLvdDr1ej46OjjVfdPEiXMgndNHp1+FwbDqCls926FxiMBhQX18vXTzEtutAIIDTp09LbdeFbgfPUDaxztKCIGBlZUVKLYXD4ajRBPK0byIX2a1Ksv31er0sVVSIyAtwfT4fwuFwlL11b28vBEFIu+Yhk+S6q2h5eRl2uz1pe7e4JqXcuaQrokKhELq6ulBcXIzW1tZN70c84RK7pkIWefEghKCkpAQlJSWSl4/cDj5bxZW5ptAF+nZApVLBYrHAYrGgpaUF4XAYLpdLSi2JtVplZWXSTKbtQqJWaIA55xYksd4sarVaimyI7bBNTU2or6/P64krV11FlFJMTExgZmYGx48fTxpCVFKLdrrRn5WVFdhstozW7MiFi5hmjBUyhZgqSge1Wg2r1So5C4vFlVNTU3C73TAajVJ9TCG1XTPhUnjEHotirdb8/DwcDgcopVK91lb3MlpPuLCISwEhFuDKvVnUajU4jsP4+DhmZmbSbofNFrlIFaXr/KtE4ZIKU1NTmJycXFeYZWsNW1m4xBJbXOnz+aLarktKSqS2680MIc0FW/nCth2Q12otLi7C4XBAp9NJXkZGo1GKDippNEEmSFbTEwgEFOFgzITLOiTzZhFnDVmt1ozb9m+GbIuElZUV2O32lM3WcrGmdFCpVOsKgnA4HJX2y8Znm80hi4UOIQQmkwkmk0lyURXNxyYnJwEgaiyBkkL520lsbgcEQYBOp4vyMvL5fNJogthZX0q4sG+GcDictMxBCd+1/K9AwYjDEUXRIr+QOJ1ODA8Pw2w24+DBg4oRLUD2UkViaqi7uxtHjx5NWbQAykp7rOda6/P5cPr0aZSUlODIkSNZ+WxT9XFRynuWb8S26507d6K1tRVHjx5FSUkJ5ufn8cYbb6Czs1O6G873e7YdUkV+vx9f/OIXpdqQU6dOobW1FW1tbXjttdeS/u3nPvc57Ny5E+ecc07U9meffRYnT57EsWPH8J3vfCfpcwwODuL888+X/tXX1+OHP/whOI7DBz/4QfA8v+l9FIlNnYiiuqGhAUePHkVHRwcaGhrAcRx6e3tx+vRp9Pf3Y2FhIa+2FBslUcRFScc1i7jEIdabJda2f3h4GA6HA3v27MHKyko+lxqXbKSKeJ5Hd3c31Gr1hiIQSoq4JBMEolngoUOHYLFY8rIGOfm+CCuVWPOxWM+OfN4BK+kEny3uvfdevPvd74Zarcbf/d3f4f3vfz/uvfdecBwHn8+X9G8/9rGP4dOf/jQ+85nPSNvC4TC+9KUv4dFHH0V9fT0uuugi/MVf/AX2798f9zn27NmDP/3pT9Lf7tu3D5dddhl0Oh3e85734OGHH8Z1112XkX1dr6lAXnTe3NwcFR2cmJgApbSghpYmq3FRyrHNhEsMybxZAoEAbDYbLBYL2trapHY6pZFpkSAWHu/YsQN1dXWKWNNmiLcWSimGhoawvLyM9vb2pL4OmSBVHxdGasROGRbbrsXhfGKra1lZmeIvHIXAr371K/zN3/wNVlZW8Morr+AnP/kJAECn06373Tn//PMxPj4ete2NN97Azp070dLSAgD4y7/8SzzxxBMJhYucF154AS0tLWhqagIAfOQjH8HXvva1jAqXdDpEY00ZxaGlS0tLGB4ehlqtjuqeU0LqRU4i4SI2pSgBJlxkiKmh2OGIADA/P4/BwUHs379fqjyXdxUpiUylisQanqmpqU0XHitJuMSKBo7jpDlSra2tOflyblUDOiUgvwMWh/PJW13FC4s4liDTn7dS7kqzBcdxGBsbQ21tLcbGxmC1WnH77bfDbrfj+PHj+Od//ue0C9nPnDmDhoYG6ee6ujq88cYbKf3tww8/jKuvvlr6+eDBg3jrrbfSev1kbNbGIXZoKcdxcDqdmJmZgdvthl6vl47HzYwmyBSJfFx8Pp8izOcAJlwARKeGYgtwBUFAf38/fD7fmjtxpQqXTKSKeJ5HT08PCCEZKU5VqnARxxPs3btXSjvkeg2beQxjfWJbXTmOg8PhwMzMDPr6+qS267KysoxMbN/qwmVpaUkqiOZ5Hp2dnfj2t7+N9vZ2fPnLX8Z3vvMd/K//9b/Ses54x3kq7yHHcXjyySfxta99TdqmVquh0+ngdrsz0rqbaf8pnU6H6upqyVohNs1pMpmiOpZyTaLiXKW45gJMuKzxZpF/WbxeL2w2G2pqarB///41XySlCpfNnjTF1FBzczPq6+szsqZUOnlyhSjsRA+aeOMJsg0TJflDp9PFbbseGhpCIBDYdNv1VvtcKQVeeGEGT/xuEv/6L+egqKgIgUAAhBDU1dWhvr4e7e3tAIArr7xy3cLaeNTV1WFqakr6eWZmJqXi/2effRbHjh1bM3k+GAyiqKgo7XXEI9uW/7FpTq/XGzWaQF6vle0UNhDZ33h1YUy4KIRkqaHp6WmMj4/j8OHDKCkpifv3ShUum2FqagoTExM4cuRIRo2G1uvkySWUUgwODkKv16O9vT0vNQ8s4qIM4rVdr6yswOFwYHJyEpRSqV7BYrGkfAEr9IgLpcDEBMEf/uTDT/9jBj291QA9go9e8jbOe/8JKUJdXV2N+vp6DA4OYs+ePXjhhRei6lIuu+wy3HHHHevWxrW2tmJkZARjY2Ooq6vDww8/jP/8z/9c93kefPBBXHPNNVHblpaWUFFRkTGvn1xa/sunr4vHo1ivZbfbEQ6HUVpaKo3JyIY7e6IaF4/Hw4RLPknmzSKmSACsa9uvpPTHZklnvzeCUt4rr9eLxcVFNDU1Yc+ePXlbBxMuykRuBQ9EvhdOpxOLi4sYHh6GVquV3HwT1SMUaqqIUmBqiuDtt9V4+bUAXn1rAUMDBF53IyiNnCOv/YIX/Y8N4aKLLoLNZkNHRwe+/e1v45Of/CQ4jsOOHTvwox/9CEDkgj8yMrJmEOltt92Gl19+GUtLS9i/fz/+x//4H7j55pvx7W9/G1dddRXC4TBOnTqFAwcOJH0en8+HP/zhD/je974Xtf2ll17CJZdckrH3JZ+jSlQqFUpLS1FaWiqNJlheXobD4ZBGE4gdSyUlJRkRWImEi1ImQwPbULgkSw0tLy+ju7s75e4ZJaU/NoPH40FXV1dWxxUoQbjMzc1heHgYVqtVKpRTCkykKBONRhPVdh0IBKSLhji3RRQyYni9kD5HSoEzZyJi5a23VBif8WNodhoTgwJWXCaEgsWgIAARoNKtYE9lJ4rqO3DbbbfhX//1X/GJT3wCR48exYsvvrjmufv6+nD55ZevqdO48847467l0ksvxaWXXpry8xiNxjXdSUAkCiOvedksSpqxplarpeMNiDiYu1wuzM/PY2hoKCPzvljERUGs580yPj6O2dlZHDt2TDEfTi4QU2KZTg3Fkk/hIggCBgcH4fF40N7ejqGhobxfXFjEpTApKipCXV2dVI/g8Xii2q5LS0tRVFSk+M9tdpbg7bdVePttNebmCDycB6OLs5gYBXxLegSCBoRDekATgErrhrHcjk8cvhP/5zv/BqLX4fDhw2htbU3q+XHw4EF885vf3PRa03kejuPw4Q9/OKPRVCUJl1hi/YyCwSAcDoc078tgMEQVnqciZBJ9pkoZsAhsE+ESmxqSf3gcx8Fms8FoNKKjo0OxB2imES3tw+FwTiZZ50u4BINBdHV1oby8HCdPnkw40DDXMOFS+BBCYDabYTab0dzcLIXxz5w5A4fDgbfeektxfh1LS8B//IcOZ85EzoErQTfGndOYnlTBP28CF+bAhQmoKgBickJXPI0a61v41P4n8PlTXwGtinTCUEpx+eWXK84TR6fT4cYbb8zocypZuMSi1+ujRhP4/X5p+rqY6hGFTKLiZSZcFIAgCAiFQnFTQ0tLS+jr68OePXvWVKUXOmIxbLwvnMfjgc1mQ0NDAxoaGnLmW5Jr4eJ0OtHT04N9+/ZFpYaUkLZiomTrIYbxVSoVtFotduzYEeXXUVRUFDXtOh91MGVlwMoK4AosY3JlCrNnVPDNF0NNHAgXz4B3V0MlCFCZF1BkHkdL+Ru4Yd9LuP3g9aDnv1t6nkK6mG+WZFElJUMIgdFohNFoRENDgxQhdDqd6OvrA8dxKC0tlYrPxWJmJlzySGxqKNabZXh4GC6XC62trZtum1NiMZ54cY49uczMzGBsbCxpt1S21pOruR1i6m9ubg4nT55ckxtXgmhgEZeti/iZyf065He/Ytu12WyW7n5z0eZKKUXvUg9mimfw9lsNCHm00ISWYLL0wMkVQ1jajSKVB7S6DwaNB0eqn8IHdvbj9qILQG/4GCA7xynxnJcttopIk0cIm5qaojropqamIAgCLBYLgsFg3L/3er2KucHfksIlmW2/3++HzWaD1WpFW1vbpr984sVFaV/iWPfccDiMvr4+hEKhnKSGYslVlIPnedjtduh0OrS3t8c94ShBEDDhsrWJPR/E3v3K21ynp6eli0Y25tlQStE534lnRp9B7yCHkZFzoA0vQocVLOtCCLoaofVaUWQegL90CaUkjJONd6OtYQW3B46DXP8x0JibnK1yMU+Frbqv8TroxFTnO++8I/1+eHgYF1xwQcZ8XL773e/iZz/7GQghOHLkCO688860gwdbTrgk82aZm5vD0NAQDh48uKa1bqNoNJqsGxRtBLl7rtfrRVdXF+rr69HY2JgXkZUL4SJ2R63XFcZSRYxsksqNTGybqzjPRmy71mg0UlqpuLh4Q99ZgQp4c/ZNPDv6LMZnfBh77SSWhhpBHA4I4WUEKQF17oaZeKGqfAcefRh1ejeON/8UeyvV+Jz/OLTnvhv8kSMb2setxHbYV41GA6vViqKiIrS1tYHjOExPT+O+++7Dl7/8Zej1ejidTrS0tODYsWMbuuZNT0/j3//939HT0wODwYBrr70WDzzwAG699db01pr2KyuUZN4s4XAY/f39CAaDGR+gJwqETJkdZQrx4nzmzBmMjo7i0KFDKC0tzft6soW4n6l0RylBNLCIy9ZlI59Z7DybQCAgTRcW21BFIbPe3Skv8Dh95jSeHX0Ws043pt46iln7fgiCCio1gU6tBx8k0IRMMJonEVJzCKqA3WWTONByFxpMJvx/3mMwlFeD++hH477GVo1CMKJTnS0tLbj77rsBAJ/5zGdQWVmJ//f//h86Ozuxb98+XHzxxbjmmmvSspfgeR5+vx9arRY+n29Dg3u3hHBJ5s0iFqLW19fjwIEDGVfOSnXPValUGBwcBKUU7e3teRdW2RIu4iypQCCQcgqsUARBoayTsZbNnmeKioqiukO8Xi8cDkdUUaVYHyMe86FwCH+e/jOeH38eDu8KZu37MfnWB8AHdVCr1Kg2VcDLeVF0fABNwRcwZL8SfDgMQIUDzS+jedfvUSUY8dfuIzBDB+7UKSCO9Tuw/SIujIjguO6663D06NFIvVRvL55//nm43e6UhUt9fT3+9m//Fk1NTTAYDLjkkks2ZBZY8MJFjLLEpoYopZiens6Kfb0cJQoXn8+HxcVF1NXVYd++fYo4wWTjIhwIBNDZ2Ymqqqq4s6QSwVJFjGyS6Yu63AZeLKoU3VPHx8cRoiEMh4fRudKJAA3CMboD46++DwF3MTQqDZpKaqFX6+EwnMbOjldhrp6Dqn8EBu8z6B65EHsO/wYVLWMo8+jwec9hWKge/KWXgLa05GwfGcpAvPmPh9frla6jhBAcPHgQBw8eTOv5nU4nHn30UYyOjsJiseCaa67Bfffdh5tuuimt5ylY4ZIsNRQKhdDd3Q2NRpP1QlSlCZfZ2VkMDw+jvLwcVVVVijm5ZFosiK3sBw4ckFwkU0UJooGlirYu2b6oq1QqlJWVQV+sxxAZwu/Hfg+nxwnHlAUTr10I/1It9JoiNJY2oKa4Bi7NANQHH8O+lgkQgYe6px8d81p0Nr8CXU0X9E06FFcfwOff1MMqALSpCeE4DrZytlOqaDt9B5O1fmfC8v+5555DS0uLZJj30Y9+FK+88sr2EC7JvFlcLhd6enrQ0tKS0nTRzaIU4SKmTPx+Pzo6OjA6OqqIdYlkSrhQSjE6OorFxcUNt7IrYeBjrCiJd6FjwoURD0opnhx+Ei9OvoggH0Rg2YyJ1z6IxZFm6NV6NFZUo1RdiqDgxFzVD2DcdxoGoxYCp0JV/zg+MluBR4zjCKh46HcaYdh7CJ9r+zwsFxsgPPgg+CuuANbpatouEZft9v1LNlAyEz4uTU1NePXVV+Hz+WAwGPD888+jra0t7ecpKOGSzJuFUoqxsTHMz8/j+PHjMBqNOVlTbNtxPvD5fOjq6kJNTY2UMlFCOkROJtYTCoUkl+O2trYN3/Hl0lMmEXJRQinFxMQEKKWwWq1R5mTb7cS5Fcj2RZ0QglnvLDweiqm32jBr3w+dyohdlnpUmaqg1RBUHOrCbO2dgNaHEGcA53Zjf+c8Lp424r66IXhoGGhsgX7Hbtx+8nbUFkdu8kKf+lRKa9guERdK6bbYT5FkEZdgMCjN49oo55xzDq6++mqcPHkSGo0GJ06cwKc//em0n6dghEsyb5ZgMAibzQaz2ZzQuyNb5DviIrZ4Hzp0SOrHF9elNOGymYuw2+2GzWbDzp07UVNTs6m1KCGSIa4hFAqhq6sLRqMRer0ew8PD8Pv9KCkpgcViUdRnyEiNbAsXngeKp67EW78cgDZcil2WBlQaKkAIwYEjPnh33YcJ/i1EVkBQTAmuGyjCQX8LvrPDDjfC8NfVI2goxrVFF0JwCFjBSlpD+bbLBX27CDSR9VyCM3Fcf/3rX8fXv/71TT1HQQiXZN4si4uL6O/vx969e6W8WS6R+6XkEnlqKF6Ld77WlYjNRFzEQZBHjx7NiOW0UoRLOBzG6dOnsXPnTlRUVCAcDkvmZCsrK1hcXITX68Wbb74ptcKWlJRsixB9IZMt4UIp8M47Kvz2txosLdVhf4kJJbrI8dDSQnHkPX34w8p/ws25pb9pCJvwqVe8MPqA75bYsaQJgew9CHNlNf77ic+i2dQcNZTPZDJJ85ViHaflCIKQcxPLfJAsdbIVSSRclJYaVPSRJ9pkLywsoLq6eo1t/+DgINxuN9ra2jYdwtoo+Yi4+P1+dHV1Je2mUVqqaCN1JYIgoLe3FzzPZ7TIWgnvzezsLPx+P8477zwUFxdHdcaJjpVmsxkulwtHjx6Fw+HAzMwM+vv7YTQaU/b0YGwNRkcJHnlEi7Gxs9/1Un0prFaKD38kgAnTo3hs4g9Rf/Ne7V785TMjCIZC+F5JN2a1QQgHDkBVVo5PHP0E9pbvBYA1bddOpxMDAwMIBoNS27XFYomyVFDahSxbKNFcNJski7go6TNXrHARvVk4jsPU1FRUesDn88Fms6GyshKtra15fTPVajU4jsvZ683Pz2NwcHBd999cr2s90hULfr8fnZ2dqK2tRVNTU8bbS/MVcaGUYnBwUDIVSxZBEvdZq9VGzbzx+XxSV1UoFEJpaSmsVissFsu2ujtUKpk8wS8uEvz2txq88070xdNoBC69lMfeE2dwf9/dmJqYkn5XrCvGKXUrjj38EgIChx+W9GJKH4Rw8BCIuQS3HL4FhyoPrXktedt1Y2NjVNv1xMQEAEgD+bbLBZ2lis5uV9L7oEjhIhbgUkolS30Rsd03tqYjX+Qq4iJGmDweT0ruv0qIKshJZz0LCwsYGBjI6GiG2LXkQ7hwHIeuri5YLBacOHECf/7zn5M+Pp7AIoTAZDLBZDKhqakJ4XAYy8vLWFpawsjISEas4hmbIxPCxesFnnlGgz/+UQ3510atBi68MIwPfCAE+/Lr+O6bD4ELn71BOVBxAKdWdqL8oSfBUR4/KunFmJGDcOgIYDDixoM34nj18ZTWILZdi9/BUCgEp9OJ+fl5LCwsQK/XIxAIoKysDCaTaUsea0y4RFDSZGhAgcJFLFgEIl8csRYgHA5HpQ3y7QQrkgvhIqaGKisrcfLkyZROEEqrcUklykEpxfDwMJxOZ8ZHM8SuJdeibmVlBXa7Hbt3705rwup675larZaEChApVBfvkD0ejzSBuLy8PCcTiBmbg+eBl15S4+mnNfD7o3934oSAyy7jYSjx4le9v8Lbc29Lv1Or1Lh892V4X28Q2t89AR4C7jD3YcgcgnDwCKDX49oD16KjrmPDa9NqtaiqqkJVVRU0Gg0MBoPUzSmak4luvvlK3WcaJlwiZGrAYqZQnHARc/ziCVsULq+//joaGhrQ0NCgKGWf7e4dMfqQrtGa0iIu631mHMdJnWGZmNq93lpyGXGZmZnB2NhY2sXFsYXoqaDX66NqFsQJxHa7HYIgSIWXpaWl2+qEnEs2EnGhFOjsVOGxxzRYWor+25YWiiuuCKGlhWLENYLvv3oPnAGn9PtKYyVuPXILdjx3GuoXX0QYAn5W3I/eMh7CgSOAVosr916J8xvOz8j+AZELusFgQFlZGerr66OOtZ6eHvA8L027LuQUptJSJNkm0dw9JlxSQLywUEoxOTkZVcSoNLIVcZEXH28k+qC0duhkLC8vw263Y8+ePWlFIzZKrlJFgiBgYGBAMgXcSHHxZtZJCEFJSQlKSkqwY8cO8DwvhfoHBweh1+thtVqlDhIl3RAUMum2CscrvAUAq5Xi8st5HDsmgELA70aextMjT0cdE++qfxeu2nU5TL96GOo33gAATKq96KkEhP2HALUGH9z1Qby3+b2Z2blVYsVZ7LEWDofhcrngcDgwMjISFRlMp+0637Cuoggej0dR119FChcgkk+12+3Q6XTrFjHmk2ykZAKBALq6umC1WjdcfKy0VFE8KKWYmprC1NQUTpw4kTPTwFykijiOQ2dnJ8rLyxUzL0qj0aCyslKyDfD5fHA4HBgaGkIgEEBJSQmsVmvU4D5G+qQqNpeWCB57LHHh7bvfHYZGAzj8DtxrvxcjrhHpMQatAdcfuB7Hyw5Ce+edUPX0SL9rOvxufPIj5+A/7HfiwsYL8cGWD2Zmx2Ssl0JRq9WwWq2wWq0AIt8Hedu1vDMuWdt1vmGpoggs4pICTqcTdrsdu3btQk1NDV555RVFtWLJyXTERfSl2b9/v/Sl3whKSxXFEg6H0bN6su3o6MjpXU22U0ViBCkdb6FEx3Y2j3mj0Qij0RjlHbO0tITx8XEQQph3zCZI9n6tV3h7ySU8RA3/ztw7eKD3AfhDZwtedpXtwqnDp1Am6KH70Y9ARkel34XPOw/8Nddgn0qFvzv371CxakyXadI9H+t0OtTU1KCmpkbqjHM4HFLbdUlJiVQfo5T6RYAJFxEmXFLA6/Xi5MmTkhIXL8JKDNllSrhQSjE0NASXy5URXxolp4p8Ph86OzvzVrOUzYiLOJE8UxGkXNXiiN4xYqcex3FwOp3MO2YDJLqop1J4a7VGPu8gH8TDAw/jtenXpMeoiAqX7rwUl7RcAtWKG7of/zvImTPS78OXXAL+L/4CWH3tSmP2DDk3c0GXd8aJbdcrKytwOByYnJwEpVQxtVhMuESQT4ZWAooULo2NjVFiQKPRgOf5LStcAoEAbDYbysrKMlaYqtRUkVhfcfjwYZSWluZlDdmocREEAX19feA4Du3t7QWfatHpdFHeMV6vFw6HQ/KO2QqFl9ki9thKtfBWZHJlEnfb7saCb0HaVm4ox6nDp7DTshNkcRHaH/0IZGlJ+j1/1VUIX3RRdnYoDpmMgMeK5thaLJ1OJ4nmXLddb0fhEm9/WcRlA+R7HlAyNnsRFI3ENpsaircuJUVcBEFAIBDA5ORkVludUyHTqaJgMIjOzk5UVlbiwIEDGTfLyzdyYzLRO0ZeeKnRaKQi363q55EO8ot6KoW34ttFKcULEy/gsaHHor67J2tO4pr918CoNYJMT0P34x8D7lVbf5UKoRtugNCx8TbnjZDN1H1sLZbf74fT6ZTarouLiyUhk+226+0y2kAkHA7H3V+v14uSkpI8rCg+BfGJxJrQbQXkniWtra0ZD78rKVUUDAbR1dUFQghOnDiR9zuYTAoXl8uF7u5u7Nu3DxUVFRl5Tjn5nqkUj9jCy2AwiKWlpTV+HtvZO8bpVON3v9Pi7bejj3WDAfjgB88W3oqsBFdwf/f96Fvqk7bp1Dpcvf9qdNR2RFrjh4ag+4//AAKByAM0GoRuuw3C4cO52KUochmJMBgMMBgMqKurA6UUHo8nqu1aPpYg0yJjvaGDW41kEZe6uro8rCg+ihQusUperVaD5/k8rSbziBdyi8WSNc8SpaSKnE4nenp6sHfvXgwPDyviQpypaFQ+OqKUiF6vR11dnXRh2c7eMV4v8PTTJXjnHQt0urP7Gq/wVqR3sRf3dd8HD+eRtjWWNOKWI7dIdSoqux3aO++MFMoAQFERuE9/GnTXrqzvUzzy1SxBCIHZbIbZbEZzc7PkHO1wODA2Nia5/Ypt15s93rZbqijR/jLn3A2wlYSLmBrK1h26SL7D9ZRSTExM4MyZM1Kh9ejoqCKKrDcbcRGHP4bDYbS3t2d1f/L9OabLet4xRUVFKC8vV0w0MFPIC2/n5oqh1Z793GILb6W/EXg8NvgYXpx4MWr7+5rfhw/v/jA0qsjpWfX669D+8peQWpDMZnC33w5aX5/dnUqCUi7osc7R8qJyt9stmeRt1KtIKfuZKxKZXvp8PiZc0mUrpIoopRgZGcHS0lJWUkNKgud5dHd3Q6PRoKOjQ/riK6XuZjN1SYFAAJ2dnaiurkZzc3PWhYUSIlSbIZF3TDAYxOuvvy6F+QvVOyZR4S0h8QtvRWY9s7jbfjdm3DPSNrPOjFOHT2GfdZ+0Tf2HP0DzyCNnX89qRehznwPN4k1PKijVniK2qNzn88HpdEpeRfI0Zipt19tNuCSCFeemQLxUkZKFi9hem+gAF4frlZSUoK2tbUt/ETweD7q6utDc3Iz6mDvCfA03jGWj7dBi2ivd8QvJUOoFIFuI3jFnzpxBa2urFOYfHx+XwvxWq7Ug3FUTFd6WlYVwxRVBXHghQewuUErx5+k/4+H+h8ELZ6PIBysO4sZDN8KsM4sPhOaJJ6B+9tmzf1tXB+6znwXy1I0npxAu6PK2a9GrSExjTk1NgVIqdceVlpYWxFTkfMGcczeA2A6tVERhFe8Adzgc6O3tTcuMrFCZnZ3FyMgIjhw5ErfnXykRl3RTReLoiZmZmSh/oUysYzsTO3041l3VZDIp0jtmaYngt7/VJCy8rak5g6qq8jWixRfy4YHeB9A51yltU6vUuHLPlbig8YKzx4MgQPOrX0Etmx4u7NyJ0Kc+hTUFMnmk0I5flUqF0tJSlJaWoqWlBTzPw+VyYXFxEcPDw9BqtVL0T5ysroTUdq5Idk5kPi4bQK1Wg+O49R+YJ0ThIg89UkoxOjqKhYWFjF7slIg4k8fn86G9vT1hCDYfU5kTrSNV5A6/2ahnESMuhXYRyAax7qpK847x+YCnn17f8XZoaO3fDjmHcK/9XrgCLmlbtakatxy5BfVmWWSS56G95x6oOs+KG+HQIYRuvRXYph1a2UKj0aCiokKqNQwEAlGT1YuLi+Hz+RAKhfK80tyQLIrGalxSIPYkrvQal9jWY3HScXFxMdrb2/Maasx2KkKcq1RRUbHuTB6lRFxSxe/3o7OzE3V1dWhsbMz4+5jrKdWFhJK8Y3geePllNZ56an3HWyD6OydQAU+NPIVnRp+J+qzPazgPV+29Cjq1TIwEAtD+7GdQDQ5Km8Lt7eBvuCGijhhZpaioKKo7zuPxwG63Y3h4GOFwGKWlpVKEsBDrsdYjWes36yraAErvKpK3Hot1ELmadJwM8cKYrZO6mAZL1TyvkISLuG8HDx6UUhmZhgmX1In1jhHvjuXeMeKAyEx5x6TreHv27yLfuSX/Eu6x3YOx5THpd0atEdcfvB7Hqo5F/5HbDd0dd4BMTkqbwhddBP7KK7Em58TIOmLbtV6vx9GjR0EIwfLyMpxO55pZXplou1YCyYRLKBRSlCdTwQgXpUdceJ7H6Ogo5ufnFZMaEiNBmf5SUUoxNjaG+fn5tDqkCkG4UEoxPj6Oubm5rHd/MeGycWLvjt1uN5aWljA9PZ0R75jRUYJHH9VidHR9x9t4dC524onJJxDkg9K23WW7cdPhm1BWFCOEHY7IsMSFsxb//Ic/jPAHPsBES54Rz58qlSpp27XY5l9WVgaj0ViQqd9CMttTpHCJlypScsQFAPr7+2GxWPKeGpIjRoIyGdbkeR42mw1FRUVp76tSuooSEQ6HYbfbodFocvI5MuGSGeTeMWLRZTzvmPLy8nWNAtcrvI11vI0lyAfx28nfYigwJN2hqogKH9r1Ibx/x/uhItHPS2Znof3xj0FcLnFnwF97LcLnnZf2+8DIPJTSuOeB2LZrv98vpTH9fr/Udp3JCGC2SSRclNj5qEjhEouSIy4ulwtzc3NoaGjA3r17872cKDId4XC73bDZbGhpaUFtbW3e15NJxInVjY2NaGhoyMlrpiJcsp3u24rIvWPkFxXRyyOed0yiwluVKlJ4e+mlax1vY5lYmcDdtrsx5BiC0RR5sNVgxc1HbsaO0h1rHk/Gx6H7yU8iLw4AajVCN98M4fjxDLwLjFxBCJHa/GPbrsUI4Hpt10ogWcRFaecgxQoX+UldiREXMaUwOzuL+vp6RbWKiWRyXtHMzAzGxsZw9OjRDRdpKaWrKJbFxUX09/fj0KFD0oTaXJBqxEVpJ41CIt5FRe4dIwgqjIw04vXXq8Dz6qjMTCLH21gopfj9+O/x+PDjEAQBFJHHt9W24Zr916BIszbdqOrvh/ZnPwPEbkmdDqFPfQqCwm5+GOmzXtu1RqORIoBi27USSCRceJ5XXDGyslaTAKVFXEKhEGw2GwwGAzo6OjA5Oamo9YlkIsIhCAL6+vrAcRw6Ojo2dQArLeIi1uosLCygra0t65NmN4JSTmpbBdE7xmIpQ2enCo88QjA9HUIw6EUo5IJGo8WePSpcd50a+/at76y6HFzGfd33YWBpQNqmU+lw3d7rcNHui+Kv4e23ob3nnrMW/kYjuM9+FrS5ORO7yFAYsW3XwWAwqu1aKX5FiYSL0lxzgQIRLko6eS8vL8Nut2PXrl2oqakBoKxJzHI2O2jR7/ejq6sL1dXVOHDgwKY/ByUJF0opOjs7odfr8+ZmnErND6uDyTyxhbdGowZGowHl5RQf+MAK6urm4HQ6cPo0n9Q7pnuhG/f33A8v55W2NZU24dzKc3GsJqZraBX1n/4EzYMPRlqWAFCLJWLhX12dpb3NPOx43Bx6vR61tbWora1d41fEcVzexmAkEi6iuFISihUuSjthy4cGxk4DVqlUijQp2oxQENMnmWwHVopw8Xq98Hq92LFjx5qxBLlGfownEoZK+h4UMqkV3hYBaMaOHc1rvGNEZ1WzxYznZp7Dy5MvS89BCMHFzRfjL3b9Bfp6+9Z+lpRC/cwz0Dz55NlNVVXgPvc5IEvt9tmCpS4zR6xfUWwqkxAidciVlJRk9QYr1kRVRGkeLoCChYuSCIVCsNvt0Ov1UUMDRZSWyhLZyLrEYZAOhyPj6RMlCJeFhQUMDAzAYDCgrq4ur2tJtTiXsTl8PuCZZyKFt/Kvw3qFt/G8Y/qm+/Bvf/g3nPGcgVanhV6vR1VJFW45egv2lieoT6EUmt/8BuoXz06Bpk1N4D7zGUBhF4RUKIQ5RZlAEIScf/9ix2CEQiE4nU7Mzs5iYGAAer0+qkMuk+sLh8NxbTyYcNkk+VD6y8vL6O7uTtpJo1Thkq5QCIVC6OrqQnFxMVpbWzN+cspnca5ckLW3t+PNN9/M+51jOl1FjPRJ1/E2GZRSvLn4Jn499muEjWFUGisR4kJoLmrGu43vxsrICkZcIygvL4++4IXD0PziF1C/8Yb0XMLevQh94hOAguYvpUO+vze5QgkCTavVoqqqSjIzlbdd+3y+qGnXm227TjRvj6WK0iD2iyFehHPVSiYO1puensaxY8eSfnBKFS7p1N6srKxItTvVWcq35yviInrPGAwGSZCJa8nniSmdriJG6iRzvN2xg+LKK+M73ibCG/Lilz2/hG3eJm3TqrS45ug1eHfDu0EIibozdjgc4HkelaWlaHjySahlFv7CsWMI3XwzkprBKJx8f29yhRL302AwoL6+HvX19ZLxosPhgN1uRzgc3tQ8r0SeX6w4dxOI4iAXwoXnedjtdmi1WnR0dKz7mkoVLqkW505NTWFycnJdgZaJ9eRauHg8HnR1da2JmCkhkhG7hnh3stvhzjaTbNbxNpZB5yDutd2L5eCytK2muAa3HrkVtcVnjyf5nXEwGERTRQX0//Ef8AwNYSUchk6nA73gAmhvuklxraXpwiIuykBuvLhjx46487zE+hiz2bzuZ5Yo4sJSRZtA9HLJtguhGHnYsWNHyjUQShYuyYRCOBxGb28vBEFISaBlez2ZZn5+HkNDQzhy5Mganx0lCpd4JxYlrLMQ2KzjbSxhIYzfjfwOz409F/X+v7vx3bhyz5XQqhO3Smu8Xlh/+1tonU7AagWlFCvnn4+Z1lY4u7qi7ONTuaAoDaVf0DNFoe1nbE1WMBiE0+nE1NQU3G43jEajdNzFq2VJlNFQ2mRoQMHCJfbLnG1xQCnF1NQUpqam0jZZU2o7tFqtBicaXMXg8/nQ1dWVtcnH8ciV5T+lFENDQ1heXkZbW1tcsauEQmE5id5/JlySs17h7SWX8Eg3iLjkX8LdtrsxvjwubTNqjfjYoY/hcOXhpH9LFhdRf//9UBEiTXQOf/SjKLroIuxafQzHcXA4HNIFpbi4WLqgKNFLKBYWcSkM9Ho9ampqUFNTI7VdO51ODAwMIBgMRk271mq1SduhxRlNSkGxwiWWbLrn8jyP7u5uqNXqDUUeNuuXki0SrUvsrMm1U2wuxIJYYGw2m9Ha2qpoQcBqXDZOssLb48cjhbcVFem/b6fPnMaDfQ9GDUfcU74HNx26CZYiS9K/JVNT0P3kJ9C4XCBlZYBKhdCNN0Job496nE6ni7qgeDweOBwO9PT0gOf5qAGRSrSH3y7CpZCGDq6HvO26sbFRart2Op2YXJ1IHggE4Ha7odVqowSb1+tFU1NTvpYel4IRLtmKuIjzd5qbmzfs6VEoqSJ5JKK9vT3nw7+y3VUk1rPs3LlTMgdMtpZ8CwLWDp0+mS68FQnwATzU9xBOnzktbVMRFT68+8O4uPnidT8HMjQE3U9/CgRXBY9Wi9AnPwnh0KHkf0cIzGYzzGYzmpsj3jFOp1Oyhxe9Y6xWq2KmDhd6JCJVtvJ+xmu7Pn36NBYXFzEyMgK1Wo1nnnkGl1xyCTweT0ZSRS6XC5/85Cdht9tBCMHPf/5zvOtd79rQcylWuMSbEJ1JcUApxfT0NCYnJzc1fwdQXtpBRJ7C4jgOXV1dKC0tTRqJyCbZfJ9mZ2cxMjKS8mephM+MtUOnR6YLb0XGl8dxt/1uLPmWzj6n0YpbDt+C5tL1bfhVdju0d94ZCQMBCOv1CHz2s1Dv25f2WtRqdZQ9fCAQiGp/LSkpkdJK8czCcsF2ibhsZeESi1arhVarxf79+wFERIbBYMA3vvEN9PX1wW63w+Vy4f3vf/+GBuwCwN/8zd/ggx/8IB566CFwHAefOFx0AyhWuMSiVqszlirieR49PT0ghKC9vX3TVf5K/RKLqSKXy4Xu7m7s3bsXlZWVeV1PpsUCpRSDg4Nwu91ob29P+WSuBEGQSleRuH07k6zw9tJLeVxwQXqFtyKUUjw39hyeHH4SAj17XLbXtuPq/VfHHY4Yi+q116B94IGzc4fMZkx+6EPYv2tX8j9MkaKiItTV1aGuri5q6vDU1BQA5MxVVc52uaBvl/2Mh8ViwRe+8AV84QtfwO23344PfOADmJ6exqlTp+ByuXDBBRfgy1/+csoiZmVlBX/84x9x1113AYikSzcT8S8o4ZKJiIuYGmpqakJDQ0MGVqZcCCFYWVnBysrKmjEF+SDTwkUeRTp58mRaAlKJwiVRV9F2JRuFtyKugAv3dd+HQcdZjxW9Ro9r91+Lttq2lJ5D/Yc/QPPII9LP1GpF6K/+CsGxsY0tah1ipw7HuqoaDIakXSOZgkVcthc+nw/t7e04ePAg/v7v/x4+nw8vv/xyWsfYyMgIKisrcdttt6GzsxOtra343ve+t2H7jYIRLhqNBv7YKrw0mZ6exvj4eNz22K1GOBzG8PAwOI7D+eefr4gis0x2FYlt67t375ZcJfO1lo0iFy5utxtTU1Ork4vPmkcpQWDlGrHw9umnNYiNJm+m8FbEtmDDL7p/AV/o7JPvKN2Bm4/cDKvBuv4TUArNE09A/eyzZzfV1YG7/XagpAQYG8vJhV3uHUMphc/ng8PhiOoasVqtsFgsGfWO2S4X9K1UnJsKic4zXq836nppNBpxySWXpPXcPM/jrbfewve//32cc845+Ju/+Rt861vfwje+8Y0NrVWxwiWT7dDhcBg9PT2glKKjo6PgDaDWw+v1SlOdVSqVYr58mYq4zMzMYGxsbFO1SfkcPyBfA6UUc3NzGB4eRmNjY9RAP6vVCp7n877OXJGtwluRUDiERwYfWTMc8QM7PoAP7vwg1KoUvieCAM2vfgX1n/98dtOuXQh98pMQBx7lIyJBCIHJZILJZJK6RkQzsrGxMck7xmq1ori4eFPrYxGXrUeyfRVHC2yGhoYGNDQ04JxzzgEAXH311fjWt7614ecrmCv4RmtcPB4PbDYbGhsbUV9fn9UvnBK+0OJF8PDhw9DpdHA6nXldj5zNigVBEDAwMAC/379pAaqESAalFGfOnAHP82hrawOlVBq3IM4kcbvd6O7uli46mb57VgpjYwSPPJL5wluRM54zuMt2F2Y9s9I2S5EFNx2+CXvK9qT2JDwP7T33QNXZKW0SDh1C6LbbAFltlRLOA3KTO+CsGdnExITUJbJR7xgl7F8uEARhS37X4pEsupQJy/+amho0Njaiv78f+/btw/PPP4+DBw9u+PkK5lPZSFeReGeei9SQGBHK14EuCAIGBwfh9XqlIlWO4xR1t76ZiAvHcejs7ER5eTn27du36RNnvruKeJ7H3NwcTCYTTp48CQBRZoHiTBK32y35fSwtLWF0dBQajQZWqxXl5eUwmUwFfRHJVuGtCKUUL0+9jN8M/AZh4ez542jVUVx/8HqYtCmekAMBaH/2M6hkc4fC7e3gb7hBMppTMrFmZJvxjtkukYjtsp9AcuGSqeva97//fXzsYx8Dx3HYuXMn7rzzzg0/l2KFy2ZSRaKVPc/zOUsN5VO4BINBdHZ2wmq14sSJE9J7pzRH342KheXlZdjt9ox2ReUz4uLz+dDZ2Yni4mLU1tYmXQshBIQQWCwWyXMhGAxiaWkJY2Nj8Hq9KCkpkYRModwhBgIqPPJIdgpvRTycB7/o+QW6F7qlbRqVBn+57y/xrvp3pS743G7o7rgDZNWoCwDCF10E/sorkSgMpGQxmcw7ZmhoCHq9XorGxPOO2U4Rl+0uXDL5WR8/fhxvyKakb4bCOMshdedcsb6jvr4+Z1b2QP5M6JxOJ3p6erBv3z7J+0FEaY6+G/kspqenMTExkfGuqHwJl6WlJfT19eHw4cNYWlra0Br0en1Ui+zKygocDgcmJiYyWsuQDcTC27vv3omSkugTZSYKb0UGHAO4134vVoIr0rY6cx1uOXwLaoqTmxNG4XBA96MfgSwsnN2HD38Y4Q98IKFoKTRivWPENKXcO8ZqtUrW8Nvlgr5d9hNIPGARUKZQVbRwkV9cUhEGZ86cwejoKA4fPoySkpJcLFEi18KFUorx8XHMzc3h5MmTcVvTlHawpYMgCOjr6wPHcRnx2okl16kiSikmJydx5swZtLa2oqioCA6HY9MGdCqVChaLBRaLBTt37gTHcVhaWpJqGcxmsxSNyZdhGbC28DYQUEP8iu7YQXHFFSHs3Ll5wRIWwnhi+An8fvz3Ue/bhU0X4vLdlycdjhgLmZ2F9sc/BnG5VjcQ8Ndei/B55216nUpGTFPW19dL3jFLS0uSNbxarUZxcfGWv7Bvp66ifJY5bISCWWkyYRAOh9HX14dQKJS3rqFcpmV4nofdbodOp0N7e/uWO3mIqa/KykocOHAgKwIslxEXQRCkrjb555UN51ydTofa2lrU1taCUipddETDMjEak8upxMkKby+7jMfx45srvBVZ8C3gHvs9mFiekLYV64px48EbcagyufV+LGRsDLo77oDUj61WI3TzzRCOH9/8QgsIuXcMELGGHxwcxMrKCt54442cecfkg60uzOQkirhwHJfz0TCpUDDCJZHvRr5SQ7HkKi0jzuPZsWMH6urqsv56uUZ0+Y2X+sokuRIuogirqqpCc3Nz1PGZ7TUQQlBSUoKSkhLJsCx2KrEYjcnGySlZ4e173jOPT36yZFOFtyKUUmk4Ihc+W+C817oXNx26CaX60rSeT9XfD+3PfgaIxdI6HUKf+hSEvXs3v9gCR6vVwmQywWq1oqqqao13jMViQXl5+ZbofttuwiVedCkTHUXZQNFH1non9tnZWan1V7wjyBe5SBWJqbCtaqA3NTWFqampnLj85iJVtLKyApvNllCE5XpWkVarRXV1Naqrq6XOkqWlJdjtdgiCEBWN2cwJ2+cDnn1WgxdfTFx429PjzIho8Yf8eLDvQbw5+6bsdVS4bPdleG/Te9O+kVG99Ra099571sLfZAL32c+CKmw6bj4RL+i59I7JB0y4RG6UmXDJEGL9QzAYREdHR15z9yLZFC6CIKC/vx+BQGBLGugJgoDe3l6Ew2G0t7fnJK+c7WiHKDKPHz+e9IufryGL8s6SHTt2SPbxMzMzWFlZgclkki46qfp8ZNvxNpZR1yjutd+LJf/Z4YgVxgrccuQWNJWkLzTUL78MzUMPRQpyAFCLBaHPfQ501VuHESFRsWY87xixaHyz3jH5YDsJF0EQEkZcMjEZOtMU3BXQ6/XCZrOhpqYma/UPGyFbwiUQCEiphv37929of5VYFS4i7l91dfWaVEo2yZYgEIc+ejyedUWmEkzwRGLt471eL5aWliSfD/GCU1pauuZkvp7jbaYKb0UEKuDZ0Wfx1MhTUcMRO+o6cPW+q6HXpHlRpBTqZ56B5sknz26qqgL3uc8Bqy3ojLOkej7R6/VR9VZihK+7uxvhcFjyjrFYLIoUCNupOJfn+bg1Sj6fj0Vc0iX2y8HzPN555x0cOnQIFoslP4tKQDaEi9g6e+DAAekuJl3Ei6OShIu4HrGVezP7t1FUKhVCoVBGn5PneXR1dcFsNkf56SQiFSfhfIgbQgiKi4tRXFyM5uZm8DwPp9OJ+fl5DA4OSgWZVqsVs7OGnBTeijgDTtxnvw9DziFpW5GmCNcduA4na06m/4SUQvOb30D94otnNzU1gfvMZwAF3mkqgY1EImIjfDzPw+Vypewdkw9YxIWlijaFmCoJhUJobW1V5BupVqsRDAYz8lyUUoyOjmJxcVFqnd3MupT0BRQv1tPT05iZmUnYyp2LdWRSEHi9XnR2dmLnzp2oqUnNJyTXNS4bRaPRoLKyEpWVldIwv+HhZfz85y709HDQ63XQ64ug1+tgNJKMON7Go3O+E7/s+SX8obPDVlssLTh1+FRqwxFjCYeh+cUvoJaZYgl790bmDhVAKiNfZOJGSKPRpOUdkw+UdsOXTZLVuLBU0Qbw+XzSwMCysjLFXIBjyVQ7dCgUgs1mg9FoRFtb26b3V+x2UkpdDCEEdrsdKpUqZ/Us8cjkdOjFxUX09/fjyJEjafkHKUGUpIvfT/Dcc6V48cVyhMNARQUFxwURCvmxe/cYLrjAjYaGMoRCVmg0mRGkXJjDbwZ+g1emXpG2EUJwaculuHTnpVCRDXxHOA7an/8cqt5eaZNw/DhCp04h44pri5GNG6FY7xjRVFH0jikrK8tI4Xi6bHfhwmpcNsDi4iJ6enqk1JDb7d7QoMVckIl2aLfbDZvNltZd+3ooyfbf7/fD4/GguroaO3bsyOtJIRPToUUTwPn5ebS1taVdcBgrXOK9H0oRN4kKb1UqgnPP1eGyy1SoqNgRtz1WHA65EZE67Z7G3ba7Meedk7ZZiiw4dfgUdpft3tjO+HzQ/fSnIKOj0qbweeeBv+aaSOsTIynZjkTITRUBrCkcNxqNW9Y7Jl8kEi4+n48Jl3QxGAxob2+XPCbyZaufCptdm2htf/To0YweKEqx/Xc4HOjt7Y2az5NPNisIwuEwuru7oVarNxwZK4RUEaVAV1ek8HZxcf3CW6PRCKPRiIaGBoTDYSwvL2NpaQkjIyPQarWwWq2wWq3r7hOlFH+c/CMeHXw0ajjisepjuP7A9TBqN9gu73JB95OfgJw5I23iL70U4Q99aMtY+GebXKeeYwvHRXHc398PjuMk75iysrJtU0ybaZKliqqqqvKwouQoWrgUFxdHRVhSnVeUDzYqXMRWYJ7nt4S1fSzy0QStra3o7e1VRARhM4JA7ISqra1F0yb8PVJdQ77er8063qrV6qj2WLGOYWhoCD6fD/39/VI0Rn7cuzk3ftH9C/Qs9kjbtGotrt53Nc6pO2fDopcsLEQs/JfOtk/zV12F8EUXbej5tiv5rP2I9Y4RxbHD4ZAmp4vHXCF6x+QLlirKIJuZEJ1rNrI2v98fdQHMxpcsn6micDgMu90OjUYjWd1nIkWTCTY7qToTnVCpRlxyTTLH280U3srrGF5//XVUVVVhaWlJuuBYrVYskkU8PPIwPJxH+rt6cz1uOXILqk0b91MhU1PQ/eQngNsd2aBSIXTjjRDa2zf8nNsVJRWtxorjeN4x2XSH3iow4ZJFtpJwWVhYwMDAQNZbu/MVcfH5fOjs7ERjYyMaGhryvp5YNhJxmZmZwfj4eNacfeNdEHKZKkrF8TZTDX2EEJSVlaFs1SfF6/fiV12/wu/Hfw+e56HT6qDX63HJnktw5b4roVFt/FRFhoag++lPAbHrT6NB6OMfh3AovflFjAhK6lKMJdY7xu12w+FwSO7QYs1VPD8iOUqICucSSmnc94PVuGSArZAqopRieHgYTqczqn4nW+SjxkXssoknygpRuFBK0d/fD7/fn9F0nlJSRckcb48dE3D55Zl1vI1l3juPu+13Y2plCuVl5aCUQgcdLqm8BOXecnS907Vh63iV3Q7tnXdGdhIADAZwn/406M6dWdqbrY+SIi7JkM/qknvHiH5EybxjlCzOcgmbVbQB4qWKMuWVkmlSSclwHAebzQaz2Yy2tracfPlzKRQopRgbG8PCwkLCLhulCJdU1xEKhdDZ2QmLxYLjx49n9DPLd6oo3cLbzL8+xetnXsdDfQ9FDUc8UHEAHzv0MZToI63lHMdhaWlJCv+bzWYp/J/M40P12mvQPvDA2blDZjO4228Hra/P2j5tBwr1op7IO2Z4eBiBQAAlJSVSkS+AgtzHTMNSRRlAo9HA6/XmexlxWS+yIdZG7NmzJ6dV2rmqceF5Hna7HXq9PmmXjVKESyqiQZzEvWvXLlRnYV5NvDXE3s1mK1W02cLbzRIIB3C37W68Pfe2tE2tUuPyPZfjPY3viXoPdDrdmvD/0tISpqamACBqOKT4d+o//AGaRx6RnoNarQj91V+BWjdgVJcG2yHFUCgRl/VI5h1DKQXP81heXkZJScmW2N9kJDpuvV6vIgf6FpRwUXKNS6IDm1Ka06nHseQiVeT1etHV1YWmpibUr3M3m+/23lTXsbCwgMHBwaxO4pavgRCScE2ZfL+Wlggef1yDt97KbOFtOoy4RnDf5H0ospx1hK40VuLWo7eiwdyQ5C+jw/8tLS0IhUJwOByYmpqC2+1GscmEprfeQvnrrwOrxYa0rg7c7bcDaZgDbpStclFPRqFGXJIR6x2zvLyMwcFBzMzMoK+vD0ajUYrybcbJXIkkO2ZZxCUDaDQaxQqXeITDYfT0RFo6Ozo68uIxkO0Ih1hkfPjwYZSWluZ9PamSaB3iuIWlpSW0tbVltQYplz4uuSy8TYRABTw9+jSeHnkaK6EVFCFyAXhX/btw1d6r0h+OiIjHR3V1Naqrq0HDYYTvuQfCSy/BEQxGTsh79oDeckskGpPpHdrGbHVxplarYTQaceDAAWnoqMPhQF9fH0KhEEpLS7eMd0w4HE4oRH0+X85vtlNB0cIlXo2LUotzYxG7ahoaGtDY2Ji3dajVanAct/4D04RSipGRETgcjrSKjJUiXOIJArF9W6vVorW1Net3lbkQLjwP/OlPajz1VH4Kb0Ucfgfutd+LEdeItM2gNeD6A9fjePXxzb9AKATdPfdA1dUFrA7zC+3fj9nLL8eS04mV8XGYTCbprjldl+NU2Q4Rl+2APKokHzra1NQUZay4Fbxjko2EEQRBMeNi5ChvRTHIT9xKThXJEavWU41CZJNspIp4nofNZoPBYEj7Aq8U4RI7qygQCOCdd95BQ0NDVPt2NslmV1G+C2/lvDP3Dh7ofSBqOGKDoQFfPufLKDdkYCp4IADtz34G1eCgtCnc3g7hhhtQpVajqr5eumteWlpCT08PwuEwysrKUF5evm5rbDow4bI1SJYOS+QdMz4+LtWEiL8vBO+YRBEXJR/LihcucpTcDg2cbZv1eDw5aXVOhUwLBbFgtaWlBbW1tXlfz0aRG+E5nU709PTg4MGDUkeBUtjIiWNsjODRRzUYGYk+GeWq8FYkyAfx64Ff49XpV6VtKqLCpTsvRdliWWZEi9sN3R13gKwO4wOA8EUXgb/yyigLf/ldc3NzM3ieh9PplG4yDAaDVOS71WoYGOmTTh3Pet4x2RDImUQQhITpLqWKl4ISLkqOuASDQfj9fqhUKpw8eVIxH3Ymu4rm5+cxNDS0qYJVJQkXeeH0yZMncz6wLdOpIiUU3opMuadwV9ddWPAtSNvKDeU4dfgUdlp24vTS6c2/iMMB3Y9+BLJw9jX4j3wE4fe/f925QxqNBpWVlaisrIyafyPWMMiHQ6ZzsVHqiZ6RHsnqPpIRzztGLpD1er2UrjQYDIo4VhK55iqhiSIRihcu8hN3bHhfKYh37AaDAc3NzYo4GEUykSqilGJoaAjLy8ubLlhViuU/EIkeLS0tob29PS8FdpkSLkoovBWhlOKFiRfw26HfRg1HPFlzEtfsv2bjwxFjILOz0P7oRyDLy6sbCPhrr0X4vPPSf64482+cTicWFxcxNDSEoqIiKRqznrhlwmVrkCwKkQ5ygQxAEshDQ0NR3jHl5eV5qyVJJFw4jlNs9FHxwkXJUEoxMTGBM2fO4OTJk+jt7VVcRGizEY5QKISuri6YzWa0trZu+qSsUqkQCoU29RybheM4vPPOOyCE4OjRo3kdGLeZGpf1Cm8vu4xHZWXuhP5KcAX3d9+PvqU+aZtOrcPV+69GR21Hxt5nMjYG3R13QNpptRqhm2+GcPx4Rp5frVZHGZWJF5uBgQEEg8GoaEy8Ez4TLoVPtlq+5dPTRe8Y0VyRECKJmFx6xySbDK1E11yACZcNw/M8uru7odFo0NHRAZVKpchU1mZSRW63GzabDTt37kRNTU1G1pPvVJG4T7t27cLIyEheLzIbdc5VUuGtSO9iL+7rvi9qOGJjSSNuPnwzqkyZM1xU9fdD+7OfAWKnnE6H0Kc+BWHv3oy9Rizyi428o2RkZARarRZWq1WKxigxIsxIn1x41cR6x3AcB6fTKXnHmEwmSchkM/LBhMs2QSxQbW5ujjJcU6Jw2WiqaHZ2FiMjIzh69GhGDYjyKVzm5uYwPDyMo0ePwmQyYXh4OC/rENlIqmh8nOCRR+IX3n7kIzxOnMhN4a0IL/D47dBv8cL4C1Hb39f8Pnx494c3NRwxFtVbb0F7771nLfxNJnCf/SxoU1PGXmM9YjtKRNt4MfRfXFwMjuPA87wi20gZqZGPNmCdTnfWkyiOd4zFYkF5eXnCSN9GKbTJ0EABCJd403Lz6dwoXtDjFagqVbikIxQopRgcHITb7UZ7e3vSWTC5WE8mEAdbulyurOzTRkknVbS0BDz+uFYRhbcic9453G27G9PuaWmbWWfGqcOnsM+6L6OvpX75ZWgeeigSbgJALRaEPvc50CyMYkiHWNv4+fl5LC8v4+2334ZGo5EKMU0m05ZIIW2XiFI4HM6a108qxPOOcblccDgcGBkZkbxjrFbrpo+tcDgct27R5/OxiEumEFuic91qLAgCBgYG4PP5El78lChc0kkVcRyHrq4ulJaWZq0zKtfFubGeM0q6eMQKl3hCJhBQ4bnnStHfr19TeHvBBWFcemnuCm9FKKV4deZVPNz/MELhs/VKBysO4sZDN8Ksy+CIBEqhfvppaH73u7ObqqsjFv4Ka11XqVQoLS1FcXExjhw5gmAwKJmU+Xw+yW01n4WYm2W7FB8rbayBWq2WUpJAxHfK4XBgbGxs094xLFWUA/IhDgKBALq6ulBRUYF9+/Yl/OLmaqBhOqSaKlpZWYHdbsfu3buzOgQyl51hontxKjOUlIZYePvII2VwOjnIfQzzUXgr4gv58EDvA+ic65S2qVVqXLnnSlzQeEFmL2qUQvPrX0P9xz+e3dTUBO6zn0XO1VqKyC/ser0edXV1qKurW1OIqVKppDvmQnJbVdoFPVsofT+LioqkY0s+eHQj3jHJhAtLFW2QeLb/uRQuDocDvb292L9/v6R2E5GLgYbpkkpqZmZmBmNjYxmvZ9noejKB+LkdOnRIKn5TGvGnQ0cX3gYCYQCRx+Sr8FZkyDmEe+33whVwSduqTdW45cgtqDdnWBiGw9D84hdQv/GGtEnYuxehT34SyGMIfz0SRSTiFWKKIsbj8cBsNktpJaWkMuPBIi7KI3bwaKx3jNjOn8g7htW45IBcuedSSjE2Nob5+Xm0tramVNWtxFRRspOMmP7y+/3o6OjISfg6F8JFbFFP9XPLF/EKb3/9ax1GR1WyxwAWSxg33xzKeeGtiEAFPD3yNJ4efTpqvec1nIer9l4FnTrDaVuOg/bnP4eqt/fsGk6cQOimm5DzQp4sodPpotxWV1ZWpCnXAKRojNlsVpRQKKQL+mYo5P1czztGPiBSHFzMhEuWyYU4CIVCsNvtKCoqQnt7e8oHsFqtzrtHSapwHIfOzk6Ul5cnTX9lmmwKF0EQJC+dtrY2xU9tFYXL0hLw6KMqnD6tW72jjfzeYAAuvtiP3buncfBg9tp9k7HkX8K99nsx6hqVthm1Rlx/8HocqzqW+Rf0+aD76U9BRs++Xvi888Bfc02ksEfhbCQiQQhBaWkpSktL0dLSglAoJIkYt9uN4uJiKRqT7zEiLOJSeMR6xywvL0uzlQghCIVCUiGu/LP1er2oq6vL48oTo3jhEvslERVithB9PjYyi0etViMQCGRpZZljeXkZdrsde/fulVR5rshWjUswGERnZyeqqqoU516cCL+f4IUXrLj/fg0iQcSIoJMX3vI8h9nZ/KSG3pp9C//V+18I8GeP6d1lu3HT4ZtQVpSFwliXC7of/xhkdlbaxF96KcIf+tC6Fv5KIRMXdq1WG9UWKzo8i/ULYjQmlyZlIlvpgp6MrbqfKpUKZWVl0kw2juPw9ttvY35+HqOjozAajXjllVfwgQ98AD6fL2MRF/Fmsr6+Ho8//vimn0/xwiUWtVqdtVTRZms9lJgqimV6ehoTExM4ceIEjMbM2K+nQza6ilZWVmCz2bBv3z7J7VTJ8Dzw8ssEjz+uw/i4BWItNM/zOHYsjKuuglR4Kzra55IgH8RD/Q/h9ZnXpW0qosKHdn0I79/xfqhI5k/oZGEB2h//GGRpSdrGf/SjCL/nPRl/rWySaVFOCIHZbIbZbMaOHTsQCoXWmJSJ0ZhctO9ul4hLovTJVkOn00Gj0eDAgQNQqVRwuVyYm5vDpz71KczPz6OnpwclJSW48MILNzXL7Xvf+x4OHDiAlZWVjKy7IIVLpsWBIAjo6+sDx3GbqvVQsnCR72N7e3ve2jEznSo6c+YMRkdHcfz4ccW27olQCnR2EjzyiAoLC5E0kXidKytz4dixATQ0BDExAXg85ZIIy6V3xsTKBO623Y1F36K0zWqw4tThU2ixtGTlNcnUFHQ/+Qngdkc2qFQI3XgjhPb2rLxetsnmhV2r1aKqqgpVVVWSSdnS0hJ6enoQDoezPol4uwiXrRpxiYe4r4QQlJWV4X//7/8NAPj85z+PQ4cO4emnn8Y//MM/wGq14pJLLsFtt90mGTCmwtTUFJ544gn8wz/8A77zne9kZM2KFy7xUkXBYDBjz+/3+9HV1YXq6mocOHBgU19KJbZDA5ED84033kBlZeWm93GzZEq4iEZ5Ho8nZ4XFqeJwOLB//37Y7Xbs378fgiAgHG5Eff0XcPHFn5EeRwhQUsLhfe8bxs6dThw4cBCEEPh8PuzYsQNGoxEPPPAAgMhk7lj/D7G4jhACQgjm5uYARNoY9+/fLw0ITAVKKX4//ns8Pvx41OfTWtOKa/ZfA4M2O5OzydAQdD/9KSB+pzUahD7xCQgHD2bl9bJNLi/scpOy5ubmNd0kBoNBSitlqkh9u1zQt8t+AomP2WAwiPe97304efIkgIgAeeaZZ9I+f3/hC1/Av/zLv8At3phkAOWc7VMkk1GNxcVF9Pf34+DBg1LObzMosR3a5XLB5/Nh3759Oa9niUcmhAvP8+jq6kJxcTFOnDixqQtFNi40f/3Xf433vve9qKiowJ/+1Ic//7kGr70m4P7770d/fx/27dsPo5Hi/e8PAejBrl3N2LXrGHiehyAI+MQnPoGqqioEAgEcOnQIIyMj8Hg8kv9HRUWF1Jr/yiuvYM+ePVGvX1xcjKNHj+IrX/kKvvvd76673uXgMu7rvg8DSwPSNp1ah2v2X4OOuo6MvjdyVDYbtHfdBYipX4MB3Kc/DbpzZ9ZeM9vkMyIh7yahlMLn82FpaUmyjBejMRaLZcMXZRZx2Xok+jxFYzuRhoYGfPzjH0/ruR9//HFUVVWhtbUVL7zwwmaWGUXBCZdMtENTSjEyMgKHw4G2traM5YaVliqamprC5OQkzGZzRoRZJkjV5j4Roqncjh070i6eTrSWTJ+In376aTzwwGN49FENXnihDjwP8DwHSilUKuC97xXwnvd4MDTUCY7TYPfu3QAiJ8vTp0/jlVdewd/+7d/ie9/7HlQqFXQ6HXbu3ImdO3dKbqwjIyOglGJ0dFQqtpPn5D/5yU/iS1/60rrCpXuhG/f33A8v55W2NZU24ZbDt6DCmL16oZLubmg7O8/OHSopAXf77aAK7WJIFaVY4hNCYDKZYDKZJMt4p9OJxcVFKRInRmPSqV1gF/TtQybaof/0pz/hsccew5NPPolAIICVlRXcdNNNuO+++zb1vIoXLpk2oAuFQtLdemtra0a/hEoRLvK24I6ODrz99tsIh8OKSKds5mQgRsgOHz6MUrmV7AYRoz+ZPAZcLg+83g4888wF8HoJBCGMe+65B+FwGM3NDtx3325otZGahMOHD6O7uxsAVutdKE6dOoVvfvObWFotUo0VenI3VkIIbrrpJlBK8e53vxtf/epXJVvwj3zkI7jtttsSrjMUDuGxocfwx4mzrrSEEFzcfDH+YtdfQK3KXmGi+ve/R+3TT0OsSqZWK0J/9Veg6xg8FgpKvOCp1WpUVFRIdVOit8fAwACCwSAsFgusVuu6A/y2S8Rlu5BMaGdCuHzzm9/EN7/5TQDACy+8gH/913/dtGgBCkC4xLKZdmjR1n7Xrl2ozsJwNiUIl0AggM7OTlRXV0ttwUqtvUkVSinGx8cxPz+f0QjZZqM/csTC25/8xA9CrofXGzm5q1RqfO1rt+Lccydx9dUn8PjjFhw8eDDKHC8cDkMQBHzrW9+CxWLBjTfeiB/84AeglCIYDK7WyIRBCIkSWX/4wx9w/Phx9Pb24j3veQ9eeuklXHXVVRgcHEQwGAQhBL29vdi3b1/U3816ZnG3/W7MuGekbSX6Epw6fAp7y7PoF0MpNI8/DvVzz53dVFcXmTtUUpK9180hhXJhl3t7hMNhLC8vS5E8rVYrCeBYp9XtFHHZDiQ7Xv1+/6Y6ibJJQQgX+QVmo+3QYtrk2LFjWes+ybdwcTqd6OnpwYEDB6KqvpVYe5MqgiCgu7sbhBC0tbVl9KSZMU+ZiQngG/8XvzR+Hz6fSXpOq5XiiisEnDxJAdRiz549uO+++/DMM89Ao9GAUopwOIxgMAidToff//736O/vR3l5OSilEAQB5557Ll577TVJeMoFzPHjxwEABw4cQGtrK1566SX89V//tXQxopQiFArhjTfekFIDg9wgHh99HLxw9jt0uPIwbjh4A4p1WXTJFARo/uu/oH711bObdu2KWPjnoS0/WxSKcJGjVqslS3ggcsGKdVq1Wq0oKysryP1jJCZZ2zelNKMt4RdddBEuuuiijDxXQQgXOemKg3A4jN7eXgiCgI6Ojqz25ufrC00pxeTkJGZmZnDy5Mk1KjlX84EyjRg9qq2tRWNjY8bf3017yoRCUD36KNT/9E8gMzP4yq4ZfPXIrwH4ccklK9i1awJmswHhcD1efvll9Pb24vOf/7wkWmpra/HTn/4UnZ2dIITg5z//OSoqKlBcXIxvfetb+MEPfgCbzQaj0Yj6+no89thjOHr0KCilmJ2dBc/zqKmpgcPhQGdnJ77whS9ISxsdHYVWq5Uev7iyiLveugvvzL0DQRBQpC9CsbEYVx+8Ghc2XZjdYzcUgvaee6Dq6pI2eXbuRMnttwMKnsuzXTEYDKivr0d9fb3ktCpOuRYEAXq9XpoczERMYZNIuChdoBaccEmnONfn86Grqwt1dXVZufApgXA4jJ6eHgBAe3t73IOwEFNFortvKsMtN8pmUkWktxequ++G6vnnQc6cAQBUDr+Ozxy9A8+23IXBQQ/C4Z34+Mc/Lr3373rXu/DVr35VSgG53W6ce+65sFqt4DgOi4uLGB0dlVpa1Wo1dDodeJ6H2+1GS0uLNIBvZGQEH/3oR6XamHe961344he/CJ7noVKp8POf/xwHV1uKh1xDuNd2L5b5ZVRYKyBQARaVBZdUXALdrA7d7m4pNZBxS/lAANqf/QyqwUFpU7ijA9O7d6NuC4oWpZ/w0yXWaXVychLLy8sYHR2Fz+eLisYooYYuEyilwDoXrBdxUeqxXBBHmvwCk2p4X/QyyFQhpxLx+/3o7OxcV5gVWqpoZmYG4+PjWXf33VCqaHkZqocfhupPfwKx2SL29JSCarWg7343Dn7/0/jqryvw1a9+Fa+++iqeeOKJqAnVlFLwPI8nn3wShw8flkSZTqeToidVVVX4n//zf+Jzn/sc3nzzTfz5z3/Gvn37orw43vOe90gFvACkOhgx/fTggw/i3773b/jtwG/x3PhzUbtwYdOFuHLPldCqtZKJ2eLiIux2OyilmRvw53ZDd8cdIJOT0qbwe98L/oorANnU562Ekk/2mUCj0aC0tBSNjY0QBAErKytYWlrC+Pg4VCqVdOwUFxcX7Puw1T9DOckiLkqmIIRLOlBKMTQ0hOXlZbS3t+d9KFm2cDgc6O3tTcmDplBSRZRSDAwMwOfz5cTdN61UkSCAvPQSVI89BrK0BNLdDTidAM+DlpaCHjsG/p//GdBqcd111+Gxxx5DZ2cnOjo6YDAYpJoVQRBACMEVV1yBK664Qnp6juMkI8TGxkYAkETNsWPHcPXVV6O/vx/BYBBlZWWoqKhAWVmZVPOjUqmk/19ZWcF7P/xe9Fn7MDY6BgCgoCjWFeOGgzfgWPXZ4YhyEzPRUl4+4M9sNkuW8tp0IiQOB3Q/+hHIwoK0ib/sMoQvvrhg5g4x1iIvzlWpVLBYLJIo5zgOS0tLmJiYgMfj2fixk2e2i90/kHhfA4FAXkbCpMqWEi7iyb+0tBStra15rTnJ1muLHTZzc3NRnSnJUGKqKPY9EtvUS0tLcfz48Zx8dimniiYnof7lL0HGx4GVFZCeHsDvj4iWykrQQ4cg3Hwz0NwsOfp+6UtfwtGjR6V6Frloid03j8cDu92OPXv2xE2LFRUVoaGhQSq6dTqdWFhYwODgIIqKiqQ2V/FYGPAOoOzKMky6J6FWq0FBsduyGzceuBEluhJpgrlo8y0veI4d8Od2u7G4uIjJyUmoVCoppZSsvoHMzkL7ox+BiIOWCAF/7bUIn3deKh9LQbPV79YjXkTxC+R1Oh1qa2tRW1sLSilWVlYkEQwgc5G8LLOdOqcSCRePx8OEy2ZJ5SB3uVzo7u7Oy8RjOWJ0IxuKPRwOw263Q6PRoL29PeUvl9JSRbHvkcfjQVdXF3bu3ImampqcryMhgQBUjz8O1QsvRPqdHQ6Qvj5ApwP0esBgAD14EPTIEQiXXgqe56ViWtHRdz3RIhqCHTlyJKVuN7kfh+iOuri4iO7ubvg4H17zvYYB3wB0Oh0ICFREhY/s+Qjev+P9UoRJ/k+80MYTMYQQlJSUoKSkBDt37pTuqMfGxuD1euPWN5CxMejuuAPw+cQFI3TLLRCOHYu3O1uOrS5cBEFIKRJKCEFpaSlKS0vR0tKCUCiEpaUlKZJXXFwsRWOUFhVnwiVyTs7UZOhsUBDCJRbxBCzWKIgdNfmaeCxH7HrKtHARHWMbGxvR0NCQ1t8qLVUkFy5i5ODIkSNR9tK5IGHEhVKQzk6oHnwQxOWKbJufBxkeBm1oAEIhkKUl0EOHAIsF4VtuQYDj8M4776CxsRH19fWrT0OlupNY0SIet/Pz8zh58uSGTt5yd1RYgJ+/83NMe6YRCATgcrlQaazEzUdvxrH6Y9Jry1NKonCRCxmxuFf+OBH5HbW8vmFsbAwajQZ1LhfqHnvsrBuuTofQpz4FYW8WvWEUxlYXLhvdP61Wi5qaGtTU1IBSCo/Hg6WlJdjtdgiCIEVjSkpK8v7+MeESMZ9T8tDaghQuojgQBAE9PT1QqVQJO2rysbZMiwTRMVZe5JnvNW0GMQI0NTWFxcVFtLW15eWuK65wWVqC6sEHobLZzm6bmQFxOECPHwc4DmRwEPToUaCoCOGrrsJyURHsb74ZVW8kFuECWHMSFAQB/f39EAQBJ0+e3NRJklKK58aew+ODj0OgAgxFBhiKDGivbceHGj8Et9ONzs5OAJGamcrKSqlwUnxd8XsjipdwOCz9E9cfG42R1zfs2rUL/KuvAr/8JVZ8vohLs8UC7uMfh3nXLuT/W8nIFJm4qBNCYDabYTabpboqp9OJmZkZ9PX1wWQySdGYTJlNpsN2Ey7xImg+n49FXDKNRqOB2+1Gf3//hiIQ2SSTaRlKKcbGxrCwsLApx1iVSiXVNSgBQgh6enpQVFSU8bEL6bAmEjU8DM33vw/I36v5eUCjiURXwmGQ8fGIaNHpQPfvx8yePRjr6YmK9omiOl5qKBQKwWazoby8XHI23iiugAv32u+NGo6o1+hx/cHr0VbbBgCoLKtck+bxeDwoLS1FRUVF1MRpMcqi0WiiojHi8Sw3v5N/ZuqXX4b+oYcAgwEmgwFCaSkWPvYxLKhUGHjzTRQVFUm1MZmaUqxUWMQlfbRaLaqqqlBVVSV1uS0tRcZihMNhaThkaWlpTs4V2Ur1K5FwOBz3uiL69CiVghAu8U7+3d3dOHbsGEoUZhW+mZEEcnieh91uh16v37RjrJJSRWIaY8eOHdi1a1de17Im4tLcDFpWBjI/H2lx1mhAyssB8Y7E6wXdvTsiZAwGDJ53HpxnzkgdUOvVs4i+Qjt37kTV6pyejdI134X77ffDF/KdXb6lGbceuTXucMR4aR7RN0aj0Uh1M+LJSh6N0Wq1a9qteZ4HKIX++eehfuopqVOIVlcjdPvtsJSVwSLb79gpxeIk7K12Z8uEy+aQd7k1NzeD53k4nU7Mzc1hcHAQBoNBisZkSwSHw+Etd1wmIlmqiEVcMoQgCBgcHITf78eRI0cUJ1qAzERcvF4vurq60NTUJNVLbHZNShAu4kiCkpKSrMyKSpc1wkWjgXDDDVD96legajVUU1OSaBEsFqgEAVCpIFCK/hMnEDaZcHLfvpSKcB0OhzQgcjO1PKFwCL8Z+A1emngpaj8uabkEH9r1oZSGI8rTPLt370YgEMDi4iIGBwcRCARgsVhQWVkZNXBvTW2MIED10ENQ//GPoIhc0ITmZoQ+8xmoYvZPnIvT2NgodUWdOXMGb7zxBgwGgxT5yUdagJEeuRabGo0GlZWVqKyslIrRY0VweXk5LBZLxta1FQV1IhKJNCZcMkQwGERnZyesVqsiLnqJ2Oy8ooWFBQwMDGTUOE8JNS5TU1OYmprCyZMnMTQ0lPf1APEN6GhzM1BSAlV/v7RNOHIEZGQEUKnAh8MYq6iA4cIL0bDqt5KsCBcApqenpXEMm7k4n/GcwZ2dd+KM54y0zVJkwc1Hbsae8j0bfl55u7UgCHA6nZKQidduraIU6vvvh+qNNwC1GqAU/J49CN52G6hOh3CSdmuxK6qoqAhtbW1SWqC7u1txRZobgUVcsoe8GL2pqUkSwWJnnjiPSxwOuVG2m3CJV+PCinMzwMrKCt5++23s27cPFRUVGBwcVFR7r5yNChdKKUZGRuBwODJunJfPdmixEDUYDEoF1EqJAK0xoPN4oP7RjyJ+LasI730vhEsugeqXv0TojTcwHwyi9LOfRdlqXZVctMSe7ERPl0AggJMnT244b04pxUuTL+GRgUcQCp+tvzlWfQw3HLwBJl3mTjByrxYAUfUGoVAIVrMZTb/7HUyjo1J6SGhtBT11CnpZbYxY5wOcvauL124dmxZwOBxSkabYMmu1WgvGwCyZz8lWQEkXdbk1ABBJSTocDgwMDCAYDMJiscBqtUZFDlNBSfuYbZJFXEQjTCVSEMLFYDBEDQ9MZ15RrtmIcBH9PwwGQ1aKVfMlFDiOQ2dnJ8rLy7F///6ollylCBcp4uJ0Qv3974PMzUm/Fy67DMKllwKEYObyy7FICHa3tqJoVbTIi3BjPzOxRslsNuPIkSMbvkv1cB78ovsXsM2f7XLSqrX46L6P4vyG87N+9yu/w+VXVsD/278hNDCAeY6L1PVceCGKbrgBOlmBLxDdqSS+T/JCXzG1Jn/fNBpNVJGmx+PB4uIiulaHM4oiRsl28kq3St8sSo4oiSlJ0ajR5XLB4XBgZGQEWq1WOn4MBkPSfdhOwiWRLw+LuGQAnU4XdaBtNh2TTdJNy4jmay0tLaitrVXEmjKB2+2GzWbD7t271xSibmhGUBaQ1jE7C/UPfgDidEZ+QQjC110HesEFkUjY8DBcLheO3nYbtFrtuvUsgUAAXV1daGxs3NRn2r/Uj3vt92I5sCxtqzfX45ajt6C2ODvHSkJcLhSJFv5lZQCl8Lz3vZg5cQKLq63jVqsVFRUVUc6osbUxgiBgcXERhBCp5TpRNEZsmW1paQHHcXA4HJKdfElJiTT2QGnD/ZR6Yc8EhXJRV6vVUZFDv98Ph8OBoaEhBAKBKPPE2GhMovTJVkT0bYrF6/Xm3FcrHQri04k9EWg0GnAcl6fVJCedtMz8/LzkmprNgyTXqaK5uTkMDw/j6NGjcQu80poRlEUIIVBNTkL961+DeDyRjWo1wrfcAtraKjkV63Q6nDhxQhI6yUTL8vIyenp6cODAgQ157gBAWAjj8aHH8fzY81EC7z3N78EVe66AVp3jtMn8PLQ//CHgcJxd49VXQ3/RRWgB0LJzJ0KhEBYXFzExMQG32y0JC6vVGtVufebMGczMzOD48eNSt5I8GhOv3Ro4O4RSNDATu6LGx8ejLlJGozGvwkHJEYlMUKj7ZzAYUF9fj/r6egiCgOXlZSwtLUlddfLjp1DEWSZI1PrNIi5ZQK1WKzZVlIqokg+CzIX5Wq5SM2KdjtPpRHt7e8K6BKWkinQjIyj9xS9AVt9/qtdD+PSnQffvRzAYxDvvvIPa2lo0NTVFfr9OEe7s7CzGx8dx/PjxDRcHLvgWcFfXXZhYnpC2FeuK8bHDH8PhysMb3NONQ6amoPnhDwFR2KlUCN90E4T29qjHabXaqDk1y8vLa4SFz+cDx3FR9T7xUkrrmd/J7eSBSOH+0tISRkZG4Pf7k95NZ5tCvbCnylbYP5VKhbKyMsksMvb4IYSgrKwsSnRvVRKJNNZVlAWUnCpaL7ohDhM0m805GwSZi1SRWNNRVFS0rhusEoQLeecdlN13HyjPR8zkTCaEb78daGnBysoKbDYb9u/fL4Wa17PvHxkZwcrKClpbWzd8snt95nX8qvdXCPJBads+6z6cOnIKpfrMdJilAxkaguYnPwGCq+vRasF/4hMRM75kf0dI1NRgv98Pm80GjuOgVqsxODgopXkStlvHKfBNFI3R6/Woq6vD/8/ef4fHVZ7p4/h9ZkZl1Ltkqxerd9kY02LAcXDBEphmIDYQICHJwm7CJz+yyW5IsptsNt/NhiWBkBDAJFQXjMGmB9NsjA2SRr33Ml3T2ym/P+T3eGY0ozqjKZr7uriMpp1zZs457/M+713Wr18PlmUxMzPDz6bDw8MduA3ehj8sgXoTwdiNcD5/urq6YDab0dLSAoFAwCuV/JlbtVy4O57QUpEH4GqpyF8Ll/mKKsL78EWYoDe/L5PJhJaWlkX7zvi6cKE++2w27flCIcIlJID5/veBdev4Za7a2lq+VTofCZdhGHR2diI8PHzZqdZm2oxXul7B+cnz/GNCgRC7i3bj2rxrfXKzpCQSiJ577qKLsFgM+jvfAVdQsKTPsdls6OzsREZGBnJycvjCQi6Xo7+/HxEREbwyhBQW7gi+pJgh/y8UCl1GESQlJSEpKQnA7LmpVCrR29sLq9XqoDTx1gAcbIObPYKh4zIfBAIBwsPD+cKaOE7bc6vI+RUoSrflIGT57wX481KRu8Jlenoag4ODbnkf3oQ3CwWVSoWurq4l5Sj5jJzLcaDefx/CY8dm/6Yo0MnJYH7wA3BJSRiyk6MvhoRrsVggkUiwbt26ZcdODM0M4WDbQSiNSv6x1OhU3FV1F3Lic5Z7pCuC4PPPIXzppYthiXFxoL/3PXDr1y/pc0wmE088JwRt58KCpFt3dXXBZrPxs1v7wmKhbsx8wZBisZj3qCFKE+L7QVxYk5OTPWZ+F+wDezB2XJxhz/uwd5wm3CqScg2AP1/tCenBgFA6tIdgL13156Ui533jOA69vb3Q6/Xz8j68CW9dUKOjo5icnERDQ8OS7Ld90nHhOAheew2CDz7gH2KysqC4+WZEJyaiva0NIpGIX+ZaqGjR6XTo6OhAcXExPwgvBSzH4t2hd/FW/1tguYvfxebMzbi59GZEiHzjIiv44IOLhR0ApKTA9r3vASlzYwTmg1arRUdHB8rLy+c1UoyKikJOTg5vKKZSqSCVStHT04Po6Gie4EsKi/nk1gtxY+xJvPYurPaZOCkpKSsyvwv2wiXYjw9w723izK2y2Wx8EaPT6XjfoaSkJJ+Exi4V800ezWazX+eKBUzhYg9/93Ehg7LVaoVEIkF8fDzq6+uD5oIn68AMwywrlXvVVUUsC8ELL0Dw+ef8Q1xxMXRNTbCYTDh37hwyMjKQm5s7+9wCJFy5XI6BgQFUVVUti3mvNqvxfNvz6Ff1849FhkViX/k+1GfUL/MgVwiOg/CNNyB4772LD2Vmgv7ud4ElRmuQ76empoYPnlwMhEKhg727wWCAXC5HW1sbWJbl5db2hcViuDHuCL4OHjUXMnGcze8CZRBaLayVjstijjEsLMxB6abX66FUKtHe3h4QLtDucooAuFwW9ycEbOHi7x0XrVaL9vZ2lz4mgQyr1YqWlhakpqYiLy9vWRfkqnZcbDYInnkGggsmZgDA1taCvesumCcnMTk5ierqat59cyES7ujoKBQKBRoaGpbVPWuVtuLFjhcdwhHzE/JxoPoAksXJKzjQFYBlIXz5ZQjOnOEf4goLQX/728ASCa1jY2OQSqXL/n4I7F118/Pz+dnt2NgYdDodYmNjkZqa6sA1sO/G2BcuzuZ3xL3ZHs6ZOGQQarvgUbPYJYG10JEI9uNbTnFm7zuUl5cHm83mUAhHR0fzhbC/ZHK5K1w4jvN7knnAFC72S0X+4gPiCkKhEEajEe3t7T7hs3gTRG1TXFyM1NTUZX/OqhUuJhOETz0Fqq+Pf4jdsgXs7bdDdkGqm5qayhct9oOb842LZVl0d3cDAO/pshRYGSuO9hzFZ2Of8Y9RFIXrCq7DdYXXQUD5aHZjs0F08CCo1lb+Ia6qCvTddwNLKDyIxN9kMqGurs7jMmTn2a29j4tAIHBIt7afLTqb35HlpIXk1s6DkEqlwtjYGE/QJIOQs4JsLRQuwQ5PdJXCwsIcXKDtozPIsmRSUhLi4+N91tmYr+MC+HeBGjCFiz389Qsl6dUWiwVbt24NKg8AQi62V9ssF6tSuGi1EP7xj6AukOgAgP3618Hs2YPhkREoFAqUlJRArVYvyGchEvaUlBTk5OQs+fyb0E3gOclzmNZP848lRCbgQPUBFCUWrew4VwKzGaI//9mxsLvkEjB33AEs4WbKMAw6OjogFotXFG+wWNhzDQoLC3kfjoGBARiNRiQkJPCJ085ya5FdnpJ9oTqf3DosLAzp6elIT093IGiOjo46ZDv5s2FXCIuHp5fDXGVyqdVqSKVS9PX18STxpKSkVeWVuCtcyH3QnxE8I6uPYZ/LIxaL/bJoWc5skMyktVqtx8jFXlcVKZWzuUNyOf8Q09QE5tpr0dnZCQBoaGjAzMyMg3Orq6LFYDCgra0NhYWFS+4ycRyHj8c+xrGeY6DZi5ys2vRa7KvYh6iwxfM/PA6dDqI//QnU6EWjO/aaa8A0NfHhiYsB4XFlZGQsW1m1UrjycVEoFBgYGEB4eDjfVXMltybuvYuVW9sXTQUFBbBYLFCpVBgeHobRaATHcRCJRIiPj19187sQPAN35FxPwXlZkpDEu7u7YbPZ+G6MNyX7gPvCxWQy+X0R7n+jqxv4cwWo0WjQ3t7OL6FI7YL6/AWkWFjK90jTNCQSCWJiYjxKLvbqUt/k5GynZWaGbAzMHXfA0tCAlvPnkZaWhtzcXL5IsVqtDgROe5Ck2YqKiiWbMemsOrzQ/gI65B38Y+HCcNxUehMuzbzUt+ezUomwJ54AZDL+IWbPHrDbti2paDEajZBIJMsq6rwFVz4uCoUC3d3dsFgsSEpKQkpKypLk1guZ3xG5LMuy6OjogMFgwFdffeUQ7LcUknIIvsdqLd84k8QZhoFareYl+5GRkTy/ytMGiu4KF71e7/fna8AULq7gD+vJExMTGB0dRV1dnV//2MSEbrEXpNFoRGtrK3Jzc7F+if4di9kXrxQug4MQPvkkKOMF4qtIBOaee6ArLITk/Hls2LCBH2A5joNYLIZAIMAXX3wxh+w5Pj6Oqakp1NXVLZlM163sxvNtz0Nn0fGPZcVl4UDVAWTErJ7xoEtMTc3mDmkuBDdSFJjbbgN72WVL+hiSyVRRUYG4JaqOVhNisRjZ2dnIzs6eI7eOioriuTELya0Xa34XERGB9PR0xMfHw2w2Q6lU8sF+xEbe2zPpEAIXQqGQPyeB2fswmUBZLBYHA8WVdvTcjQf+bvcPBHDhQiTRvnIvJGRNq9WKTZs2+eXSkD2WUiyQtmVlZeW8HhyrsS+LBdXZCeFf/gJcyIniIiPBfuc7kCUkoE8icSBKcxwHmqYhFApRUVHhQPYcHh6G1WpFWFgYKioqllS00CyNN/tmwxHtcXXe1dizYQ9EAt+eI9TwMERPPgnYFXb0gQPgamuX9DkymQxDQ0MrymTyBVzJrRUKBdrb28EwDJKSkpCamrokubWz+Z39EmhkZCQf7OdsfhcZGcl3Y/zZLyME3yIqKgpRUVEOBooqlQqDg4MIDw936MYsdRLvLgXb3wMWgQAqXJx/FCI79kXhYrFY0NraitTUVJSVlfm867MYLCaviOM4jIyMQCqVYuPGjV6T7Xm6cKHOn4fw4EHe6ZWLjQX9wAMY4TjIhob4IEt3JFzCW4iOjoZWq0ViYiLEYjH6+/vdLi84Q2qQ4vm25+eEI36z6psoTyn32LEuFSqVChUVFZAcPozynTvBchxYjsMl6el498QJcCUlbt87MjKCbdu2QS6Xg6Io/M///A//d319PX/tnTt3Do2NjTCZTACA6667Di+99BKA2bbzhg0bMDQ05FcDtD1h0l45ND4+Dq1Wi9jYWN78zpXcGnBtfmcvv3ZnfgfAJa+BeNSEujEhuILzOWQymaBSqfiO3lLDRefruIQKFy/BVyZ0MzMz6OjoQElJCd/OcwbhcPjTDWihvCKWZXni6qZNm7y6754sXKhTpyA8fBi4MNPlkpJg++530aVSgWVZbNy4cVFOuMSePjc3l8+RcrW8EB0djdTUVCQnJ/PF0NnJszjcfdghHLEspQx3Vt6JuAjfLqM89NBD2Fpbi4xXXkH3TTchIyoKxrAwZD7/PJ49cwZ3zVO47Nq1C1u3bsVf/vIX6HQ6nD9/Hlqtdo4cPDw8HL/73e9w2223YWpqCmVlZThx4gR27dqFmJgY1NTU4JFHHsHvf//7VTji5cGVckihUDgoh1JSUhyC9py7MUqlEnq9HhEREaBpml9KcmXmRWbS2dnZvMpkenoavb29iIqK4geokPldCO4gFov5jh7LstBoNHy4qEgkcuBXuZpcsyzr8vzyd7t/IIALF1/Y/o+NjWF8fHxBPgvZN38rXNwVCxaLBS0tLXwQnrc7SB5RFXEcBCdPQnDy5MWHMjJg+va30ToygpSUFN4gb6GiZWZmBl1dXS7t6Z2XF/R6PeRyOVpbW2FhLfjc8Dn6Tf0QiUSgQEEkEGFP8R5szdnqF524d996C8evuQYCjkNGVBSQmAjNvn1gn39+3v0j3C2JRAKGYTA4OIjs7GwUFhbOeV9NTQ1qamoAAOvWrUNSUhK6urqwa9cuAMB9992HH/zgB35duNjDWW5ttVqhUCgwNDQEg8GA+Ph4ng9FZrZyuRwjIyN8J8r+nGNZli9kFmN+Rzw/7B1YU1JSfJ6H4++mZJ5AoB6jQCBAYmIiEhMTAYC3CBgcHITJZOK9hxITE/nlIZqmXS71hjguHoS7paLVgL3F/SWXXLJgG86Xy1ju4G6piCiiSktL+Rakt7FiVRHHQfDqqxB8/PHFh/LzofnmNyHp73dwK17Ivn9qagpjY2Ooq6tbcCnD3pgMicAzLc9gUjMJs9kMmqaxLnYd7qm7BxXZFb4vWjgOxmPHYDSZcEV6OgDAmpKClMceg/l//gcbN27EgQMH3L799OnTiIiIQHV1NSYmJrB+/Xp8+OGHCx7X6dOnoVAosG/fPv6x66+/ft5t+TvCw8Md5NYajQYKhQKDg4MICwuDUCiExWJBfX29A2fAfklpKeZ39p4fxIGV5OHExsbynh+rfX/xBzGEtxEsx+hsEUC8h4hhY3JyMr+85IxQ4eJFrNZSkdlsRmtrK9LT03kZ7ULwxxBIV0tFk5OTGBkZWXVF1IqWimgaguefh+DLL/mHuPJySJua0NPfj+rqal66TEi4ZJv24DgOAwMD0Ov1cwac+cByLN4ZfAdvD7wNlmMRHRWN6KhoXJp5Ka5Ouxo6tQ5nz551qVhZNXAchIcPY/C11yC8cNxcbi6oBx6A8mc/w8jICLZs2YLjx49jz549Lj/CZrPBaDRi7969ePDBB7Fr1y7cfvvteP/9991uViqVYs+ePfinf/onZGZm8o+Hh4eDoihMTU1h3bp1nj3WVYb9zJYEqKrVakREROD8+fM8VyUxMXGO3Hq55nf2Dqw6nY4P9qMoiu/GEMdgb8Lflr+9gWA8RoFAgISEBCQkJAAA7z00OTkJjUbDK5UiIyMRFxfnEY7L2NgY9u/fj+npaQgEAtx///146KGHPHA0swjYwmU1igO1Wo3Ozk6UlZUtKQF4MUTY1YZ9sUBuuEaj0SeKqGUXLhYLhE8/DeoCFwcA2Pp6DF99NabGx3lC8UJLQ8TpNTIyEjU1NYu+4atMKjzf9jwG1AP8Y+IwMfZV7ENdet3sA2lwUKyQgMCUlBSkpqY6cCQ8DZYFzp2j8OETA/i3uI+REBYGluPAlZaCvvde4EIBlZubi+rqahw8eNBt4ZKXlweBQICHH34YsbGxuOuuu/DrX//a7baNRiM2btyIq6++Gv/5n/8553mO47yiUPMVOI5DV1cXBAIBNm/eDIqieA8OuVzuwFVJSUnhu3krNb+Li4tDXFwc8vPzYbVaoVQqMTw8zC9hOS8HePqYg6EbMR+CsXBxBvEeUqvVyM7OBsuyfJfUYrEgNzcXDQ0NK/ouRCIR/ud//gf19fXQ6XRoaGjA17/+dZSXe0aoELCFizeDFjmOw9jYGCYnJ1FfX79kyac/dlxIMUXs6+Pi4lBbW+uTG9GyCheDYdajZWiIf4i58kp0VFaC1ut5QvFCRYvFYoFEIsH69esdugILoVnajJc6XoLJZuIfK0wsxP6q/UgSOxa1rhQrRGqt1+tdciSWC44DJiYofP65AIcOCfHFFwLQ1nJcc10tLo9rAQAobr0V00NDEIvFyM3NhUqlQktLC773ve/xn5OZmYk33ngD9fX1kEqlEIlEiI6OxpkzZ7B9+3a89tpryMnJmfNaYPZmv2nTJmRlZeHQoUNz9rG/vx9hYWF+7XO0FDAMg/b2dsTGxiI/P58/x+w9OIgjqkKhQEdHB2ia5ouY+Pj4JaVbu+vGhIeHO5jf2S8H2CtQ3JEzl4q1MKivhWMkIHJosViM+Ph4fPDBB5iensa//du/4dSpUzhy5AhqamqwY8cObN++3a0YxRXIeQkAsbGxKCsrw8TExNorXFxxXGw2m8e3wzCMg7pmOQOLPxYuAoEARqMRAwMDKCgo4JUzvsCSb6IzMxD+4Q+gpqb4h6zbt+Or9euRFBXFDx4LFS06nQ7t7e0oKSlZdAfNQltwtOcoTo+f5h8TUALsKNyB7QXbFxWOGBYW5jDAaDQayOVyDAwMICIigrekX4pcWKEAzp8X4Px5ITo6KPT2UpBKqQuKcAoPd96HU//vdeR/9BGeef555OXl4b777uPJh5s3b8a//du/AZgl6el0OuTm5mJ4eBgqlQr19fV4/PHHcfvtt4NlWSQkJOCDDz7gX5uXl8fvy9NPP43h4WFERETwPKkf/OAH+MlPfgIA+Otf/+qxG5avYbPZ0NraumDEgb0jKsmnUSqVmJiYQFdXF2JiYvgiZylya/I6V+Z39ssBxPxuYGAAZrPZI8Zla6HjslDwYDDB1bFmZGQgNTUV3/rWt3DttdeipaUFb731Fvbu3Ysnn3xyWdfx8PAwmpubsXnzZk/teuAULs4QCoUwm80e/UyTyYTW1lasX78e2dnZy75IF5Ie+wJGoxFyuRwNDQ1Ltq/3KWSy2dwhlYp/yHD99fgyLg6FOTlIv0A8XYiEK5PJMDg4iJqamkXP/Me143hO8hykhosRDkniJByoOoCCxIJlHY4z+9/VrNzZBI1ApwOamwU4f16AoSEKOh2FoSEKMhkFrXa2+yIQAPHxwA23UKBuuB4/oU149NFH0dnZiRtvvNHlPp08eRKVlZWQy+VgGAa1tbUQCAS4+eabcfPNNzu89vjx46isrHQo/O6//37cf//9bo/51VdfxZNPPrms78ufQPhu+fn5PPl7sRCJRA5ya51OB4VCgZaWFgDgi5j55NauzO9cLSkBjuZ3JL+JqEzCw8P5bsxSuslroRuxFo6RYD7L/+joaAgEAtTX16O+vp6fhCwVer0ee/fuxe9//3uPOmwHbOHiaXIuMYMqLy/nB5Xlwp86LhzH8bPonJycwCpaxsZmc4d0F6zzBQKo9uxBW1QUqior+QthIRLuyMgIVCoVGhoaFqXE4DgOH458iDf63nAIR6zPqMet5bd6NBwxKioKOTk5yMnJ4WflxAQtLi4OsbEpmJpKxVdfhaO7e7ajYjYDIyMCyOWATkfBZAIiI4HoaA5VVRx++lMbyspmOyu33HILPvjgA1itVreeILt27UJOTg7Cw8Mdlj5cYc+ePW55Ma6g1+v5VnMgg4RtlpSUrPj+YM9VKSgocOCqkKVEkm5NuCrzdWPsib72adgEzvlN9jbyVquVjyKIj4+fd9BeCx2XtVS4uDtWT6mKbDYb9u7dizvuuMPtpGm5CJjCxVtyaHu32IaGBo+4e/pL4UJIqCKRiL9BBgqovj4I/vQnUKSrFhaGieuvx3BMDDbW1vJKHXLzdtVlITJ2gUDAdxEWgtaixd/b/44uRRf/WIQoAjeV3oTN6zd79cZtPysfGgLeeceC8+cZ6HQaCAQChIWJoVJFYXpaCIYBzGYKYWEcYmOBrCzgkksYPPAADeel6KeeesrtNokLdHZ2tlcUPzExMfjDH/7g8c9dTZBcpqqqKq/IRF1xVeRyOW8kRrox9koP526McwFjHxzqzvyO2Mir1WrIZDL09fVBLBbz3RhnNVyocAk+uPo9jUbjiie4HMfhW9/6FsrKyvCDH/xgRZ/lCgFTuDjDEx0XQrITiUQedYv1h8LFbDajpaUFmZmZyM7OxvT0tN8pndyBkkgg/OtfgQu/LycWo3f7duhTUrCxshJCoXBBPovVaoVEIkFaWtqil/06FZ34W9vfoLfq+cdy4nOwv2o/0qPTPXuQC2BqSoCOjhiIxbPdlKkpDj09LAQCCyIjbdDrxQgPFyEtjUJuLofLLmNxxx0MlqK81uv1fKr5UlRzawkkW2i1cplccVUUCgX6+vr4oEZ3cmvg4pKSczHjjuDrilCsVCrR2dnJ5zclJycjLi5uTQzqa+EYF4In5NCfffYZ/va3v6Gqqgq1F7LQfvWrX2Hnzp0e2MMAK1wIARNYeXFA0o+zs7PnJdktB94iDi8WJJbAXsbtjxJtV6DOnIHwxRf53CEmJgaSq69GVGEhqgsKHEi49rNKe5ABuaioaFFMeJqlcbzvOD4c/tDh8WvzrsXuDbt9Eo5YW8vi0CEhFAoKcjmFyEgODQ0UdDoR+vqiIBbTSE/XIiLChE2b9NixIxwCQTKAxZmSkaWCyspKvzeb8hUmJycxMTGB+vp6n1nvR0ZGIisrC1lZWWBZFmq1mi9kIiMj+aLDldwaWBrB155QTJYuid9Hd3c3bzVgs9n8ylzTkwgVLrOFy0o7LldccYVXXYgDqnCxx0rk0AqFAj09PaioqOBnNp6ELzsuxKrdWcbtj4RhZ1Dvvw/ha6/xf1sTEvDVlVciq7aWV0HZk3BdFS1KpRJ9fX2LHpClBimekzyHce04/1hsRCz2V+1HaXKph45s6dBqZ21XRCIORUWzN4CRkdkiZsMGDikpAkRGxuHAATFyc0WQy+Vobp7N1SGeMe5ksPZuwatujhcgGB4ehlqtRn19vd+oTIjjKVFuEa8gQuwmZnT2XJWVyK1FIpGD+d3k5CSmp6chkUgAgN8Xb3oTrTbWiqqI4zi3hYXFYvH7jKyALVyEQuGSl4o4jsPQ0BAUCoVX0499UbiwLIuenh5YLBaXpnKeTmT2BPg1c46D4PhxCN59l3/OmJSEr668EmWbN/PGZQsph8bGxiCVShc1Q+Y4DmcmzuBI9xFYmYvcn4rUCtxReQdiw31DYtbrgbfeEuLTTwVgWSAmZnbFbGBAgKgoDvX1LIRCIC0NuP9+G2ZFVbNEz8LCQlgsFrdLCxRFYXh4GDMzM0tyC15L4DgOfX19sFqtqKmp8evZt7PcWqVSYWpqCt3d3bzc2j6o0V03hlxX5H7qzvyO+H0UFRXBZrNBqVRidHQUer2ez8KxJxQHItZKx4VlWbcFmitelL8hoM4w+6WipQ7ENE2jvb0dERERfGKwt7Da3Q3C50hMTERpaanL2Y+/LRWR35LiOAheegmC0xd9UtSpqejauhW1l17Kt8DtSbjOvx3Lsujt7QVN06ivr1/wtzXajHip4yW0SFv4x0QCEZpKmnBV9lU+mT3SNPDRRwK8/bYQ9ip/kwnQaCjk5bE8f6WigsOBAzRcUS4iIiJ4GayzkyvDMIiMjERlZWVADy7eAklIj4iIQEWFH+RNLQHO3RG9Xg+FQoHW1lYA4M3v7IMaFyO3Jq8h91vy+rCwMGRkZCAjI4NP0yaFjDfM71YLa6VwcRcCPF8nxp8QsHevpVwMBoMBEokEOTk5S3JLXS5Ws+Oi1+shkUgcggVdwd+WigQCAViLBaK//x2CC14WHIDp1FRM7t6Nhrq6RZFwbTYb2trakJiYiJKSkgXPiwH1AJ6TPIcZ8wz/WEZMBu6qvguZsd4/N5zBcUBrK4XXXxdBoXB8rqiIQ1YWh1OnLt5gtm9nsWsXg8XcWwnxMiEhARKJBNHR0QgPD0dbWxsA194haxU0TUMikSA5ORm5ubm+3p0VwT4M1D4aYGRkhO+OkG7MYuTWhBtjs9n469G5G0PStAsKCuYkE9tHEfj7MgzLsmuiqCeuue7g7/eDoP+FyGyzsrJy1bJSVqtwkclk6L8QLLgQn8PfloqENhuETz4JwcBs7g/LshhZtw7mW25B9YUCZKGixWQyQSKRIC8vjzeicweWY/H2wNt4e/BthxnF5dmX48aSGxEuXP013dFRCkePCjEw4HhcqalAUxONqqrZ/TSbga++EuDOO2nU1S1tNmQ2m/minfCE7AezoaEhGAwGJCQkIDU1NSAGF0/DarWitbUVWVlZAR8C6Qr2cmuO4/h06+HhYQe5tX13xLkbY7PZMDk5yUuo55NbOycTazQa/lxbrvndamGtd1wCheMTUIXLUqpAjuMwODgIlUqFTZs2rSrZyNuFi/2xbdy4cVHH5leFi06HrFdfBWW1Ahe4Sv15eYg+cAAb1q8HsDCfRa1Wo7u7GxUVFQs6MipNShyUHMTQzMWcI3GYGLdX3I7a9FqPH95CmJkBjh8X4tw5xxuHWAzs2MHgyitZ2E+Gbr2VwTXXMFjqmKrT6dDR0eHSNM3ZO2RmZgZyuRz9/f0u1SrBCuKWvWHDBp70GsygKIqXWxcVFfFy6/7+fphMJiQkJPCcKDKA0TSN1tZW5ObmIjU1FcDFpdvFmN/ZO0WbTCYolUr09vbCYrHw5ncJCQl+UTAEysC9UrjrLBmNxhVLoVcDAVW4uIIrUySaptHW1gaxWIyGhoZVvyC8ySex5+os5dj8wVsGAKBSQfj444iUSoGEBFgsFvSWl2Pd3Xcj4cLNbaGiZXJyEuPj46irq1twYP1q+iu81PkSzLaLxJGipCLsr9qPxMiVOaAuFRYL8MEHQrz/vgD2anmBALjqKhbXXcfA1T1DJMKSixairqqqqlrwRuTsrGqvVmEYhudHuIohCGSQ7Kry8vKgSq5eCtzJrfv7+xEREYGEhARMT0+juLjYobBzNr+zl1rP140Ri8X89hiGwczMDL+9yMhI/lzzldptrXRcCH/JGXq9PiDCUAO6cCGDsX3lSDgf+fn5Pmv7eqtIMJlMaGlpWZb3jF90XKamZi381WqAomA0mTByxRXI379/USRcjuPQ398Po9GIhoaGeWdGFtqCQ92HcHbiLP+YgBJgZ9FOfD3/64sKR/QUOA744gsB3nhDCI3G8bmqKg6NjTQWWOlaElbqP2KvViHqkbGxMeh0Ot6OPjk5OaBnpmq1Gj09Paiurg6IGeZqwFlurVQq0dHRgYiICPT390OlUrmVW4tEIgfzO/siZj7zO7I9juNgMpmgUCjQ2dnJy7uJ+d1qFRNrpXBxpyrylN2/txFQhYvzbI+455LChXA+qqqqfJrJQ1GUx4sElUqFrq6uZXvP+LxwGR6G8IknQBkM4ADYWBaT27ej+LbbIBKJFuSzEJfjqKgoVFdXzzvzH9OO4TnJc5AZZPxjyVHJOFB1APkJ+d46Qpfo66Pw2mtCjI057m9WFoemJgYlJZ5j8JMlRJ1O5zH/EWf1CEm2HhoaQlhYGJ9s7Y98BXeQyWQYHh4O+djMA71ej97eXtTW1iIuLg4MwzjIraOjo/nlRFdy67CwsDlya/L/7uTWzrldarUa09PT6OnpQXR0NF/keHPZf60ULiSg0xmhwmUVQDobZCau0WgWzfnwJjzdTh8bG8PExMSKspR82eKnursh+POfQVksYFkWCp0O401NyN+5c1FFCyGYZmVlYf0FDowrcByHf4z8A2/0vQGGvdjx2rhuI24puwXisNUbXGUy4PXXRZBIHI8lNhbYs4fBJZewi1IGLRZEyisSiVBTU+OV39ueHwGAnyF3dXXBZrMhKSkJqampiI+P99slpfHxcUilUtTV1QWt++tKQbKZ7LtRQqEQqampSE1NdZBbSyQSsCzrcjlxpeZ39tsjy5ft7e3gOI7vxtjLuz2BtVK4uOu4hJaKVgEikQgWiwXd3d2IjY1FQ0OD394wlwOWZdHd3Q2aprFp06aAbM1Tzc0QPvsscMHgSmYwAA8+iIiYGN4zYD4+i1arRUdHB0pLS+dN5dVatPhb+9/QrejmH4sQReCWsltwyfpLvHZ8zjAagbffFuLjjwWwXy0MCwOuvZbFtm1LyxNaDIgkfLWlvGKxGNnZ2cjOzuYN0CYmJtDV1YXY2FikpqYiKSnJLwoE0o3S6/Wora0NyGtpNUCiIObLZnKWWzsvJxK5tf1vv5D53ULdmJiYGMTExCAvLw82mw0qlQrj4+PQ6XSIjY3lCcUrPdfWSuHiTg4d6rh4Ae6WD4qLi3mpZ7CASDRTUlKQl5cXkAUZ9cknEL7yCsBxsFitkNtsEP/0p4gvLYWyq8vh5uWqaJFKpRgeHkZNTc28s4B2eTteaH9hTjjigaoDSIt2723jSTAM8MknArz1lhBGo+NzGzey2LOHwTx117JhNpvR2tq6KEm4N+FsgKbVaqFQKDAyMsL7yZAYgtUGx3Ho7p4taBdaZlzLkMvlGBwcXPISmiszOrlcjpGRET6CgqRbL9f8znl7JEWd4zjodDooFAqMjo468HTst7dYzOcoG0xgGMblb+yJnKLVQEAVLvaYnp6GUqlEUVFR0BUtOp0OEokExcXFvPwwoMBxELz7LgTHjwMADEYjVGFhSPz1rxF5gTAtEAj42ZkrEq59Voy7WZSNseH1vtfx0chH/GMURWFb3jbsLNq5KuGIHAe0t1M4dkwEmczxuYICDjfeyCA31ztOlKQbVVZW5pXMreXC3pCssLCQl9z29vbCbDbzmTqrIYElkxvSHQgVLa4xPT2NsbGxea+3xcD+twfAR1AMDAzAaDTycuukpKQ58unlBkPGxc1GXhQUFPD+RMPDwzAajXwUQWJi4qKM5dz5mwQb3Mm+Q3JoL4HjOPT29kKv1yM7O9sv2tCuQAi6S70IpqenMTg4iJqamoBo2c0Bx0Fw9CgE//gHOABajQa6lBSkPvooRAkJPJ8lLS0No6OjGB8fR3x8PL+sQFEUz9Wora11+/1N6adwUHIQE7oJ/rG4iDjsr9qPkuSSVTnUiYlZA7neXsfBMDkZaGykUVvLwVvjJJGQLtSN8gfYS24JyVMqlfKky9TUVK+QLm02GyQSCdLT0z2eAB9MsOf9eNo11j6CgvgFkUImIiKC78Y4B8I6y63Jf6Q7605u7exPRKIIhoeHERYW5hBF4ApraanIHccl1HHxMGw2G7788kvEx8ejvr4eo6Oj/uFN4gLEy2WxFwEhGGu1WmzatMlrBZkr3xuPgWEg+PvfIfjiC7AsC5VKBWbDBqT/5CegxGIHEm5sbCwqKyvBcZyD+ZnFYkFycjLy8/PdZmmcnjiNI91HYGMumqFUpVXh9orbERPu/WJPqwXeeEOIs2cFsI/1iIgArruOwdatjgZynsb4+Dimp6eXLXf2JdyRPEmmDllSWk6b3x4Wi4VfQpsvCmOtY2RkBGq1elV4P85+QfbkbqvV6rIT52pJyb6QoWkaFEVBKBTOuV8IBAKeTE46f0qlEv39/TCbzUhISODN78ixe/X+6EdwV7gYDIZ5BRD+goAqXAA4uDeKRCLY7J28/AiuPGbcgRjmRUVFob6+3msXjkAg8N6FabNB8Ne/QtDWBpphoFQqEXbJJUj4l38B5lEOURTFk+pUKhU2bNjAk005jnMYyIw2I17qfAmt0lZ+syKBCDeU3IArs6/0+g3HZgM++ECA998XwmK5+LhAAFx+OYsdOxh4c7LCcRzfcq+7kOUUyHCVqWO/rJCYmMjHECxlFmwwGNDW1ubSMTiEWZBzyWQyobq62iddBntyt3MnLioqiu/GEC6GqyUl++Wk+ZaUgNnOn3P3R6lUYmBggDe/I/enYMd8S0WB0OkPqMIlPDzcgfMhFAphto/S9SMsNtTQaDTydtrernTJPnn8JmU0QvjUU6D6+2G1WqFSqRB93XUQf+tbwIViaT4SLln2qKys5C+avLw8h4GsV9mLDzUfghbSCI8IBwUK62LW4e6au7EuxrtGgxwHnD8vwPHjQszMOD5XXs6hqYlesrPtUsGyLG8GVlVVFZQ31/DwcIeMG+Li2tvb63IgcwUi5a2srAyIlrcvwHEcenp6wLIsKisr/eJccu7EEflzW1vbgnLr5ZjfOXd/jEYjlEolzGYzzp07x0cR2JvtBRPm67iEOC5eht/Y2LvAYvZNqVSiu7t71QIgvRJFoNVC+Ic/gJqYgNFonHVXve02hN10E3AhKJGmaQCYcwPgOA5jY2OQy+Uulz3Cw8ORnpGOrwxf4ePpj2ET2GAymTCjmcHmtM24Jf8WpESkePZ4nDA4SOHIESFGRx1v7uvWcbjhBgZlZd6PgCdcjbS0NGRnZ3t9e/4Ae3UIx3EwGo2Qy+X8QEaKGHsfDxJzMJ+Ud62DZVl0dXUhPDx8UWnqvoA7+TORWxP5c3Jysku59VLN7wAgKioKUVFR/BKsWq2GTCZDX18foqKikJycjKSkpKAxLJyvcAl1XDwMd865/oj5CheO4zA6Oorp6Wls3Lhx1S6GxXaBFg2FAsLHHwcUCmi0WlitViR++9sQfP3rs7MfO/t+59+OZVl+1ldXV+dyVqMwKnCw7SCGZ4YBzLZ6k2KTcEfFHciPyodMJkNzc7PDbM1TA5ZCMRuE2NzsuF8xMcDu3Qy2bPGsgZw7kBDAwsLCwFSYeQAURfExBGQgI1JrvV6P+Ph4CIVCaDSagOT9rBZYlkVbWxvi4uICymLBWf5MpPb28mdnXtRKzO+IfD8lJYXv/pD4A5ZlHaIIAuU7dIa7zrterw8VLt4AdWEWDwRmx4U4nHIch02bNq1qG9Kjtv/j4xD+8Y/gNBqoVCoIw8KQ+C//Alx66YJOuITDkpSUhNzcXJcX//mp83i582VY6ItkkuLkYnyz8ptIiEwAAMTGxvKkO7lczpP8CC9mOTcWkwl4910hTp0SwL4mFomAq69msX07g9UKTCbLHms5BNAVwsLCHJQjPT09kMlkEIlE6Ojo4H//YE+2XgoYhuF9oXJycny9O8uGs9TeYrFAqVRicHAQBoNhxXJrjuPmbI90f3Jzc3mjxcnJSd74lHRj/FXh6g6uxh6j0RgQS6wBV7jYw987Ls5FgsViQUtLCzIyMpCTk7Pq1brHlooGBiD805/A6HRQKpWIjo+H+KGHwFVVLVi0GI1GSCQSFBQUuFR7mGkzXu16Fecmz/GPCSgBdm/YjW1521x+Z5GRkXMcXMfHx6HVahEXF8fLbecjs7IscPq0ACdOCKHXOz5XXz9rIGcXjut1yGQyDA0NhZY95gEhmDIMg8svvxwCgQBGo5FPtqZpmp+NB/LseKWw2WxobW3l+UPBhIiICAdelL3cOjw8nO+c2Muf3XVjtFotBAIBrFar2yUlZ6NFooobHx8HAH55MyYmJiDPtxDHZRUQSB0XjUaD9vZ2lJaWOsTDryY8sVREdXRA+Je/wGowQKVSISEjA2H/8i/giooWJOGqVCr09PSgoqICcXFxcz57RDOC5yTPQWFU8I+lRKXgruq7kBu/OCt75xsLCQUcHBxEREQEv6RkvzzX2UnhtddEmJ52/KzcXA579zLIz/c+j8UeY2NjkMlkKzYDC2aQzmV4eDgqKir4c805qE+pVDoUsYQb4Wm/En+F1WpFS0vLmpCFu5Nb9/T0wGKxIDExkY8GsJdbA7MDdl9fH6qqqniyrz3R17l7A7hWxalUKoyOjvIOtGR7gXK+hTguXoL9UpFIJPLbwsW+SJicnMTIyAjq6up8aha20qUi6osvIPzb32DU66HV6ZCclwfqn/8ZXHb2vCRcAJiYmMDk5CTq6+vncHo4jsP7w+/jzb43wXIX92/T+k24pewWRIqWHyxJfBw2bNgAg8HgQPBk2QycObMeAwNiB6O4xESgsZFBfT3rNQM5V+A4Dn19fbBYLG55PyHMLntIJBIkJiYiLy/P7etEItEcboRcLsfw8DAf4uc8Gw8mkDiIoqIin02WfAlnubVarYZcLp+jUjObzejq6ppj5mjvF2M/IZvP/M45+sA+9sLe/M5fuzE0TQcEATngChd7eJxs6kEIhULQNI2enh4YDAZs2rTJ51X3SgoX6sMPITh8GFqtFhaLBaklJeAeeghIS+PXi111WchgbDabUV9fP2e5ZsY8g7+1/w29yl7+sQhRBG4rvw0b121c1r66AyF4Jifn4fXXOZw6RcNoNIGmdYiICEdcXCSuv16Ea6/lsNqNDoZh0NHRgaioKL+RqPojSIZXVlYW1i1Bg27PjSgqKuJ5UWQ2TuS2wSJ/JUuypaWlfhUH4Su4ItwqFAo0NzfDYDAgMzMTVqsVYrF4XoKvczHjjuDrKvqAcHFMJpNL87vVgseVpT5AQBcu/n5zHx0dRUZGBurq6vxiX5fFceE4CE6cAE6ehEqlgkAoRHJVFdh/+idw8fHzKodomuZzYlx5j7TJ2vD39r/DaLuYSpibkIu7qu5CSpTnZc42G3DqlADvvDNrICcWh0Msnp1hVVdrUVc3AJtNia6uaH42vhpLNVarFRKJBBkZGSFr+nlAFFZFRUVISVnZ+WHPiyLmZ1NTU+ju7kZMTAzPiwrEpTq9Xo+2traQl40bEMKtzWbD9PQ0Nm/eDIPB4JBsTgrZhdKtF5OnBLjm4pBCJjw8nO/GrAafzV2QJMdxc8jJ/oqALlz8FQaDAUNDQ4iLi8OGDRt8vTs8ltyhYlkIXn0V3KlTUCqViIqKQnR1NZgHHgAnFs9LwjWbzZBIJMjOzp4zM7YxNrzW+xo+Gf2Ef4yiKGzP344dhTsgFHh2BsJxQEsLhddfF0GpdHyupGTWjyUzUwygmCfcyeVyXmrtzWRjMjP2xGAczCCDsTcUVs7mZ85pw/a/vz9MQOaDRqNBV1cXqqurA4Jk6SuoVCr09vaitrYWkZGRiImJmZM23dLSAgB8p8aecLsSubUrLo5SqURvby+sVqtDN8Yb3T93Hi4E/n6OAwFYuPj7l0rIYHl5eTCZTL7eHQcsaamIpiE4eBD055/PknATEhDe0ADmW98CFx4+LwmXyHhdpRZP6afwbOuzmNJP8Y/FR8bjQNUBbEjyfJE3MjJrIDc05LiP6elAUxONigrHIER7wl1BQQGfbGy/pJCamor4+PgVn4szMzPo6uoKzYwXgFqtRk9Pz6oMxs5pwyTduL+/HyaTySXB019ABuOampqQEm0ekLyiurq6OXwOV2nTCoUCQ0NDMBgMiI+P5+XWZOnfXTeGFDOE++dOqSQWix1CSIkyqr+/H2KxmO/GeIp74q5woWna53SGxSIw9nIB+EMwFsdxGB4ehlwux6ZNm2AwGGAwGHy6T85Y9FKRxQLhX/4C81dfQaPVIjklBcJLLwW7fz84gWBeEu709DRGRkbmyHg5jsMnY5/gWO8xh3DE6rRq3F5xO6LDPTsgqVSzQYjnzzs7ZAK7djG4/HIWi1latk82JlJr0lJerNTaFaRSKYaHh1FXVxfyG5kH9rJwX3xPzunGzgRPsqToa9M7opxzNRiHcBFEKl1XV7eo38w5hkKj0fCFTFhYGK9Ssy+oF+rG0DTNv8aV+Z2zY7RSqURnZycYhuEL55XI+wPd7h8IgsJlKWGG3gIhVgqFQmzcuBECgQBms9nviMMCgWDhUEqDAYI//hG6tjaYLRakpaYCV18N9uabwbAs2AtprK5IuENDQ9BoNGhoaHD4PfRWPV7seBFtsjb+sTBhGG4suRGXZ13u0aLTbAbef1+If/xDAPtDFQqBr32NxTe+wWC5Kz7LkVo7g7gmK5XKkNx5AdinYPvD9+QcQ0BUavbJ1s5LCquB6elpjI2N+c335K+Qy+UYGhpadNHiDIFAgMTERD64k3RjifhgPrn1crgx9o7RRN6vVqsxOTmJnp6eC0KDWfO7pRyPu8JFr9eHChdvwfmG4OvChUgO161b5+BI6Y+KpwWXitRqCB5/HDNdXaAoCqkpKeB27wZz3XXz8lkYhuE9NWprax2e71H24G/tf4PGrOEfy4zNxIHqAx4NR2RZ4OxZAd54QwidzvG5mhoOjY00POmY70pqbR8KR3gR9oMYCbdjGAa1tbV+t9TgLyBFsE6n89sUbHtHVeLhoVQq+SWFhIQEPtnam/s/Pj4OqVSKurq6gGnz+wIymYzvcHqquLPvxtrLrfv6+hAZGckXsvadwsVwY9wRfImEn3Cx9Ho9lEol2tpmJ4RJSUmLKpwDPacICMDCxRnEPdcX7dGZmRl0dHSgrKyMJ1oR+KM53rxLRVIp8NhjUPT1QRwVhdjYWDA33wz2qqv42QG5oOxhsVggkUiwbt06B0UMwzI40X8C7w+/78BU/1ru19C4oRFhQs/NDHt6KLz2mhATE477lpMzS7wtKvI+U57MjHJzc/ksHTKIkaTZ8fFxxMXF+W24nT/APrm4uro6YL6n8PBwhxgCe56Cu0FspRgeHsbMzAxqa2v9srjzF0ilUoyOjnq0aHGGs9zalYMzkdvbE3zJewHHbsxSzO/sgyhHR0eh1+sRFxfHd2OcC9pQ4eIH8FWBMDExgdHRUdTX17skwvlj4eK2CzQyAuaxx6AeGUFCQgIio6LAHDgAtqGBJ5m5Klp0Oh06OjpQXFzsULjJjXI8J3kOo5pR/rHo8GjcWXknKlMrPXY8Uilw7JgI7e2O+xUfD+zZw2DTptU1kCNwztKRyWTo7OwERVEQCoWYnp5eNal1IIFlWbS3tyM6OhoFBQUBU7Q4w1k1QrpxHR0dYBiGH8SWy1MgUQcmkwnV1dWhzt08mJ6exvj4+Kp2pOyXeJzzjbq6uhATE8NzY+yXeJy7Mc4FzHzdGFdBlEql0iGIknBx5lsqChQzxoArXFwlRK9mgcCyLHp7e2E2m+c1lfPXwsW540L19sLyv/8LrVw+61sRHQ3mvvvAlpXNqxySy+UYGBhAVVWVw7roF5Nf4NWuVx3CEUuSS/DNqm8iPsIzMlaDATh5UohPPxXA/nDCw4Ft2xhccw0Lf+EnmkwmDA8Po7KyEklJSQ5Sa4FAwLd+A+WG4S3QNI3W1lakpaUhOzvb17vjUTh341QqFcbGxqDT6ZZM8CYdKY7jQkaFC2BqagoTExOora316TKaq3wje24UKWRjY2MXNL+zL2IWY35HlHEqlQrDw8MwGo0QCoWzHXWnAibUcVlFEIfa1QAJK0tMTFyw3e/RJGYPYc5SUXMzDP/3fzAbDEhNTYUgJgb0Aw+Ayc3lSbjOFwUhlyoUCjQ0NPBdAzNtxitdr+D85PmL2xMIsbtoN67Nu9YjN1iaBj7+WIC33xbCXmlOUcAll7DYvZuBP5mEqtVqdHd3O8idV0tqHUiwWCxobW1Fbm4u0tPTfb07XoXzzJgQvIlKhaiUXHVxWZZFV1cXwsPDUVRUtKbOkaViYmIC09PTfseRcrZbINyokZERfoknNTXVrdw6LCxsjtx6MeZ39h3g3t5emEwmfPXVVwgLC0N7ezvq6+thNBo9Uri8/fbbeOihh8AwDO6991488sgjK/5MZwRF4bIanQ29Xg+JRILCwsJF3Vz98abisFT02WfQ/vGPAMchNSUFSEwE/d3vgs3IcEvCZVkW3d3dAOCQpTM0M4SDbQehNF50d0uNTsVdVXchJz4HKwXHAa2tFI4fF0Eud3yuqIjDjTcyyM72L8fH6elpfl3dHa/BmdynVCo9IrUOJBADPuflxrUAe4I3cDEUsKurCzabDUlJSXwhy3Ec2traEBcXh/z8fN/uuJ9jfHwcMpksILg/9twoUsgSfpxIJHJIt/aU+Z19arbZbMZnn32GH/7wh5icnER2dja2bNmCK6+8clm8UYZh8L3vfQ/vvfcesrKysGnTJuzZswfl5eUr/KYcQS1g8etfowFmZ/xWq5X/mwRYedMqXSaTob+/H1VVVUsyCjt9+jQuu+wyr+3XUmE0GmeNvKamoHn2WYjFYsTExgKpqaC//32wiYluixabzQaJRIKUlBTk5OSAoiiwHIv3ht7Dyf6TDuGImzM34+bSmxEhWvl6zdgYhaNHhejvd9yf1FSgsZFGdTXnEx6LOxA/n5mZGT5pdjmfQWbiSqWSl1p7mtzpa2i1WnR0dIQM+FyA8CIUCgVmZmZgs9mQkpKC4uLiEDdqHoyNjUGhUKC6utrvi5aFQDqyCoVijvmhu2Oz78aQQobjOAfzu76+Pv5z7PHYY49BoVCA4zh8/PHHyM3Nxc6dO3HTTTctelJx5swZPProo3jnnXcAAL/+9a8BAD/+8Y+X8xW4vbOHOi7zgOM4DA4OQqVSYePGjT43mVophAIB4t57D+ovvkB8fDzEkZHgsrJAf/e7YKKjwbkpWgwGA9ra2lBYWIjUC5riGfMMDrYdRL+qn39dhCgC+8r3oWFdw4r3dWZm1kDu3DkB7GtrsRjYsYPBlVey8Df1J8uyPP+gpqZm2aRJZ6m10WiEXC5He3u7W6l1oEGpVKKvr2+OUWEIsyC8iMTERLS0tPBdXvsYipSUlIDx3VgNjIyMQK1Wr+ja8yfYd2SJ+SFRqrmbzCzG/I6+QANwhtVqxebNm7Fv3z4AQF9fH06cOAG1Wr3owmViYsKBo5aVlYWzZ88u+ztwBz+79S8dIpEIFotl4RcuEQzDoK2tDREREWhoaAj8C4FlYf3rXxH92WdISk9HeFgYuA0bQN9/P5jwcLckXGIjXlFRwc+KW6WteLHjRYdwxPyEfByoPoBkcfKKdtNiAf7xDwHef18Iu8YaBALgyitZ7NjBwB/v1TRNo62tDQkJCcjLy/NoQREVFYXc3Fy3UmviFxIo56i9YVqgTwa8CavVipaWFuTl5SEtLQ0AUFhY6NL4LDU11WvZNoGA4eFhaDSaoFVZ2SuDgNnJJHHUJcuKzunmruTWer0eWq0WOTk5vBkp4cY4c1w2bNiAf/7nf17SfrpawfHG5CrgCxdvdFxICi2pdlcCv4gjsFqh+Z//AfvVVxCFhSE8LAxsdTXou+4CIxDMJkC7uNjHx8cxNTXF24hbGSuO9hzFZ2Of8a+hKArXFVyH6wqvg4Ba/g2D44Bz5wQ4flwIjcbxucpKDk1NNPyVt0nIpa4CJT0NZ6m1vQV9dPTqplovB4TYHTJMmx9msxktLS3YsGEDP1gRuDI+k0qlvJsq4UatlaKQmBVWVVUFZdHiCs6Ouvbp5tHR0XxHzv4csFgs6OzsRGVlJWJiYuZ0Y/r6+nD55ZevaL+ysrIwNjbG/z0+Po7169ev6DNdIeDuHN6WQ6vVanR2dqK8vHzOGuBS4WtXXwBgjUYof/ELRIyMICk1FTKZDMyll4K+7TawgFv7fpJUWl9fD6FQiAndBJ6TPIdp/TT/uoTIBByoPoCixKIV7WN//yyPZWzMcT8yM2cN5EpK/I5qxUOv16O9vR0lJSUrPl+WCmcLen+WWnMch/7+fpjN5pBr8AIghOXS0tI5IaXOcDY+0+v1UCgUDjEEqampiI6O9vkEyhsYGBiA0WhEZWXlmj2nXMmtyTnAcRySk5MRFxeH/v5+lJeXIy4ujn8vUZqeOnUKXV1dKCpa2b1806ZN6Ovrw9DQEDIzM/Hyyy/jxRdfXOkhzkHAFS7A7GBLWlKelEOPjY1hYmICDQ0NHiFBLjrU0EuwKpVQPvoo4jUaxCYlgQKg3rgRifv2gXWzNESWPOLi4lBcXAwA+Gj0IxzrOQaavfg916bXYl/FPkSFLX9QlMmA48dFaG113IfYWOD66xls3szCn+9FZBmNzGB8CWeZpcVigVwu9wupNZHxikSikPfIAtDr9Whra1sWYdn+HCAxBCRU0Gg08uTOpKSkgB/kiQmf2WwOnVN2cD4HbDYbpqam0N7ejrCwMIyPj8NsNkMsFvMFzGeffYZ///d/x0cffbTijrFIJMIf/vAHfOMb3wDDMLjnnntQUVHhiUNzQMCpioDZtV+y3waDgSf5LRdE5muz2VBZWekxNnpzczNKS0t9Qj40jo1B8/OfI4Vl+e0zjY34KDISpaWlLjkRJpMJEokEubm5yMjIgM6qw4vtL6Jd3s6/JlwYjr2le7Elc8uybxZGI/D220J8/LEA9s2ysDDgmmtYbNvGwN/FM5OTkxgfH0dNTY3fp/ESqbVcLodWq3XpFeHNbUskEiQmJiI3Nzc0wMwDjUaDrq6uOaaOnoA9uVOtVkMsFvOdGn8/f51Bunc2mw1lZWWhc2oeWCwWNDc3o6SkBAkJCdBoNJBKpbjrrrsgEolQV1eHTz/9FO+9954/Gj+6/WEDvnCxWCxob29HQ8PylCxWqxWtra1ISUnxOKlSIpGgoKBg1WfjqvZ2WH/7W6RFRCA8LAygKNC33Qb60kuhUqkglUqh0WgcvEJ0Oh26urpQXl6O+Ph4dCu78be2v0Fr0fKfmxWXhQNVB5ARk7Gs/WIY4NNPBTh5Ugij0fG5jRtZXH89A3+38iABgFqtFlVVVQEnuVxNqbXNZkNLSwsyMzO9ss4dTCDdu5qaGq9PdEiWjlwuh0Kh4JVqzu6t/giyjM2yLEpLS/16X30Nq9WK5uZmbNiwwaUq6OTJk/j1r3+NtLQ0TE1N4YorrsCuXbuwdetWf1H6BVfhYrPZHORdX375JTZv3rzkz9HpdLz5Vaono4MvoL29HdnZ2YiP94zV/WIw+emnCHvqKaRFR88OqiIR6Lvugq1yNiOIdFnsB7Dp6WnQNI38/HykZaTh3ZF38cHwBw6fe3Xe1dizYQ9EguX4kgDt7RSOHRNBJnN8Lj+fw969DHJz/fJUcwBZ8hAKhUETlGg/gDEM4zGpNUlNLygo8Mq1FUwgzrm+6t7ZbDa+I6fX6xEfH8935PypMCdxBwCC5vrzFkjRUlRUNIfcDQAtLS34zne+g6NHj6KoqAhWqxWffvopTpw4gVOnTuH9999fdc6eCwRv4cJxHM6cObNkozepVIqBgQFUV1d7rSPS1dWF9PT0VXEEZVkWwydOIOnVV5EUGwsBRYELD4ftvvvAbNjgloQ7ODgInU6H/Px89E324W8df4PUIkVkZCTEkWIkRCXgm1XfRHnK8pwPJyZmk5t7ehy3nZQENDXRqK31LwM5d6BpGhKJBMnJybwBX7CBSK3lcvmKpNaEp1FWVrYguXStg0jDa2tr/UIJxrIs795KOnKkmPWl+SHHcfykobi4OCivP0/BZrOhubkZBQUFSElJmfN8e3s77r33Xhw6dAglJSU+2MNFI3gN6JZ6AhNSl0ajwaZNm7x6s1itOAKbzYaBV15BzvvvIzYuDhQALjoatgceAJOV5bJoYRgGHR0diIyMRHV1Nb6Y+gKHJw+DjWWRFJ0Es8mMRDoR28K3IXwmHNpw7ZLayFot8OabQnz+uaOBXEQE8I1vMNi6lYUf3KcXBbPZzHN/gjlLxxNS65mZGXR3d6OqqsrnhGV/x/j4OKRSqV9JwwUCARITE5GYmMibHyoUCt4vhJC8l5tsvRxwHIfOzs5QRtMiQIqW/Px8l0VLV1cX7r33Xrz00kv+XrTMi4DsuNA07VAQLNZanyhmoqKiVqVqHxgYQHR0NDIylscJWQwMBgNGnn8eRefPI+rCjIhLSID1e98Dm5rqsmixWCyQSCRYv349ktKS8ErXK/hy6kv+eaFAiD0b9uDq3Kt5YqdMJoNer19wFm6zzRrIvfeeEPa+gBQFXH45i507GQSSu7tOp0N7e/ua7h7YSywVCgUoinKQ2RLI5XIMDg6ipqYmqKIJvAH7WAh/Wo6ZDzRNQ6lUQqFQ8CTvlJQUJCcne63w4jiOn2AVFhaGipZ5QNM0mpubkZubyxsW2qO3txf79+/H3//+d1RXV/tgD5eM4FoqWk7hYjQa+QTa1SIKDg8PIzw83GvbUyoUkB88iOLubt5oiMvIgOU73wGXkOCyaNHpdOjo6EBxcTE0Ag2ekzwHlUnFP58WnYa7q+9GVtxc4z37WbharUZMTAzS0tIuBAGK8NVXArz+uhBqteP7yspm/VjWrfPL08ktiC29N1QegQwitZbL5bzUGpjttvjLkoe/gnR8TSYTKioqAlaWzHEctFotT/IWiUR8R85TvkEsy6KjowPR0dEoKCjwyGcGK2iaRktLC7Kzs112hYeGhrBv3z4899xzqK+v98EeLgvBX7hs2eJenqtUKtHd3Y3KyspVJcoSB0FvyMzGRkdhe+EFFF4ImQQANjcXlvvvB6KjXd4QZTIZBgcHUVlViU+nP8VbA285hCNuydqCvSV7FxWOyHEcdDodZDIZ2toM+OSTdZiZSUBkpBhC4ey2MzKAG26gUV7ul6fRvJiYmMDk5CRqamrWjAPpckDTNLq7u6FWqyEUCh2Inf6y/OEvIORSjuOCThFDYghIMWufbL2c4oxlWbS3t/N+JCG4B8MwaGlpwfr16136sIyOjuLWW2/FX/7yF1xyySU+2MNlI3g5LsBFozfnlivHcRgdHcX09LTHTOWWul/2SdaeAMdx6O7oQNxrr6FoagoCoRAcALa4GNZvfQtUZKRLEu7IyAhUKhUKKgrwdMfTGFAP8M+Lw8TYV7EPdel1i94PiqJgs8Xhk08S8dVXAtA0DZY1Q6VSQSymsXMnjeuui0FsbGB1KsiM2GAw8K7BIbgG8dMQCAS4/PLLQVEUPwsfGhpCWFgY79671peOWJZFZ2cnIiIigpKn4RxDYG9BHxMTw8utF9ONY1kWbW1tiI+PR15envd3PoDBMAxaW1t5bpozJiYmsG/fPjzxxBOBVrTMi4DsuDAM4+CWe/78eVRVVTlICcmNguM4n7Vkp6enYTAYUFhY6JHPo2kakvPnkffuu0iVSmdJuACY2lrY7rwTVFjYnBsikfAKBAKYEkx4uetlmGwm/vmCxAIcqDqAJPHilU9mM/DOO0KcOiWAvWmxSARs3cpi61YTDAYFZDIZzGazT11blwJyzoSFhYWUCwuAzIijoqLccg8IsVMul4NhGCQnJyMtLS2gU62XAzIQx8XFrbnugX0UhUKhgEAg4PlRUVFRLu9XEokESUlJyMnJ8dFeBwZI0ZKeno7MzMw5z09PT+Omm27C7373O2zdunX1d3DlCK6lIufChTgDkrVVEnqXlpbmU7dOwgUh1vkrgdFoRNvZs6j66CPEyeUALhQtl10G2003gRIK5xyn1WqdnbkkxeOc8RxOj5/mn6MoCjsKd+AbBd9YdDgiywKnTwtw4oQQer3jc/X1swZyzkR2Z9fW+Ph4pKWl+Z3tuM1mg0QiQWpqauiGuQBomuavr8Uugzp7hSQkJPBLSv50HngaZHBJTU31R2fSVYfFYuFJ3iaTiY8hSExMBMdxkEgkSElJCX1XC4BlWf68chUELJPJsHfvXvzmN7/Btm3bfLCHHkFwFy5tbW3Iy8tDbGwstFot2traUFJS4lIOtpogLrVlZWUr/pzec+fQ8NlnECuVAGZ/GPrrXwe9cyeoC7Hk9jAYDLMKqowoHB8/DqlByj+XJE7CgaoDKEhcPOGts5PCsWNCTE05bicnZ9ZArqBg4VOFeETIZDKoVCq/STMmUQf5+fku2fghXASZFKxEGs6yLGZmZiCXy6FSqRAVFcWfB8HEJ7LZbGhtbUVmZqbXU8MDEc5kf6vViuTkZBQXFwfVeeBpLNSVUiqVuPHGG/GLX/wCO3bs8MEeegzBVbiwLAubzcb/3dnZiXXr1sFsNvMOlP6gAtFoNBgbG0PlBdfa5WB8fBzS9nbUf/IJwmZmAMz+KLamJjBbt7qcrSqVSvT29kKdqMZ7Y+85hCPWZ9Tj1vJbFx2OODUFHDsmQmen4zmUkAA0NjJoaGCXZSDn3EIWCoVIS0tbdT6EVqtFR0cHH3UQgnuQ1OLi4mKPmSpyHAeDwcCfB+6k1oEGq9WKlpYW5OXlhYrhBcAwDJqbm/num/xCR5nwYtba0uJ8IEu08fHxyM3NnfO8Wq3GjTfeiJ/85CfYs2ePD/bQowjuwqW7uxtmsxksy6K6utpv1Ax6vR6Dg4PL0swTBQI7OorKDz6A4MLaDEtRsN1+O7hLLnF5MY+NjWFwYhBtgjb0qHv4xyNEEbip9CZsXr95UTcBnQ44eVKI06cFsA+4jogAtm1jcO21njWQM5vNkMvlkMlkHrWenw9yuZx3T/aUhDNYQQq8iooKPlXWGyBLCXK5HGazmVenJFyQ9wcCzGYzWlpasGHDBpd26yFcBJHxOnelrFYrv7RoMBiQkJDAJ1uvVcI8x3Fob29HTEyMS66URqPB3r178cMf/hB79+71wR56HMFbuNA0jTNnziAmJga1tbV+dXMzmUzo7u5GXd3i1TqAnb28SoWCt94CZTaDA8CJRLDdfTc4FzHuLMuit7cXvepenDGfgd56kYSSHZeNA9UHkB69cGufpoFTpwR4++25BnKXXspi924GXhy3ADhazxuNRiQmJiItLc2jg9fY2BikUilqampCviMLgAQArnaBR9QpcrkcGo0GsbGxfCiov0xOnEG6UqWlpWvWsHCxIIZp2dnZ85p0kqVFhUIBlUqFyMhIvhuzVtRqxIgvKirKpaeNTqfDzTffjAceeAD79u3zyDbvuecevPnmm0hLS0N7ezuA2XvBrbfeiuHhYeTl5eHVV1/1ZqZRcBUuHMfBarXCYDCgtbUVMTExSE5Odsms9iWsViskEgk2bty46PeYTKbZ2ZrJhIzjxwGbbbZoiYiA5b77QF3IHbKHzWZDi6QFXxq/RLuxHZTd731t3rXYvWH3guGIHAe0tFB4/XURLtBoeBQXc7jxRgaZmat/OrAsC5VKBZlMNifRejkzLyLhJQZga3X2tlhMT09jdHTUZwGABM6GZ/4otSYuy5WVlYgNJHtoH4Akh+fk5CyZK2UwGHiCL1GrpaSkrGoMwWqCRB4QKb0zDAYDbrnlFtx9993Yv3+/x7b78ccfIyYmBvv37+cLlx/96EdISkrCI488gv/6r/+CWq3Gb37zG49t0wnBV7hMTk6ip6cHVVVV0Gq1YBjG5ZqfL7HU5Gq1Wo3Ozk7Ums2IP3YMYNlZj5aYGNgeeAC4kDtkD5PJhFPnT+G0+TRm2Bn+8diIWHyz8psoS1mYGDwyQuHIESGGhhw/Oy1tNgixstI/ghDtE62VSiUiIyORlpa2aFInyWcSi8VB6aXhaYyOjkKhUPjV8iuByWTi3XvJ4JWamrqkPC1PQqPRoKurK+SyvAiQPB1P8H9sNhvfldPpdPzEJlgMEDmOQ3d3N0Qikct7lslkwq233orbbrsN9957r8e3Pzw8jN27d/OFS0lJCU6dOoV169ZhamoKW7du5RO7vYDgMqCzWCwYHh7Gxo0bERERAYPB4HGjN09gKSGLExMTGB0dxSV6PcTHjwOYrRrZxERYv/tdUGlpc05atVqNw18choSRAHaNg4rUCtxReQdiw+ef9anVwPHjQpw/70jwjYoCdu5kcMUVLPypIUFRFBISEpCQkIANGzbAYDBAJpOhtbUVFEXxM3BXyxmk+5WRkeFSPhjCRRATPqPRiNraWr+UK4vFYuTk5CAnJ4eXWo+MjPhEak2W0mpqaiAWi72+vUAGIS3n5+cjNTV1xZ8XFhaG9PR0pKenO0xs7A0QU1JSAvJ3ITxHoVDosmgxm8248847ceONN+Jb3/rWquyTVCrluUjr1q2DTCZble06IyALl8jISIflF5FItCopzEvFYmZ+HMehr68PBr0el0qlCHvvPQAAy3Fg168H/cADELhYKx8YHcBzXz0HZbiSX+4QCURoLG7E13K+Nu+2LRbgvfeE+Mc/BLDjOEMoBK66isV11zEIBK5qdHQ08vPzkZ+fz+fn9PT08LLKtLQ0xMbG8nLnwsJCj9wsgxnEsFAoFKKqqiogulJhYWHIyMhARkaGg9S6r6/P61JrMkjW1dX5dCktEGC1WtHc3IzCwkKvWFXYT2yA2W6EQqFAV1cXbDabQwyBv5/XHMeht7cXALDBBT3AarXiwIEDuO666/DAAw/4/fF4GgFZuDhDKBQ6+LoECkhadbRYjPrubgg/+2yWz8JxYPPzQX/726Cc2s4cx+HD1g/xav+rEMWIIKRmi5aMmAzcVX0XMmPd83xYFjh7VoA33hBCp3N8rqaGw549NAJVuRkREcFbjpMU25GREWg0GtA0jcLCwpDCYwEwDONgtR6IN0OBQICkpCQkJSU5SK1JV86TUuupqSmMj4+jrq4uRPBeABaLBS0tLSgqKlq161AsFiM7OxvZ2dmgaRoqlQqTk5Po6upCbGwsn2ztb78d4eGxLOsy08pms+Gee+7BVVddhQcffHBVr9P09HRMTU3xS0W+kvoHbOFCURQIP2cpSzL+AkLCzc3MRNY770DQ0nKxaCkvB33PPaCcZnA22oY/f/hnfDHzBWLjYnkS7uXZl+PGkhsRLnQ/o+zpofDaa0JMTDie5NnZs8nNGzb4JZ1pWRCJREhPTwdFUXzkgkajwdmzZx0SrYNhDdxTIGZp69at8zuS+3JBURRiYmJ4+SiRWvf19TlIrZcTBDg+Pg6ZTIa6urrQebQAiDzck/4/S4VIJEJaWhrS0tL4gFi5XI7R0VEIhUJepeQP/KSBgQHYbDaUlZXNKUpomsb999+P+vp6PPzww6s+udizZw8OHjyIRx55BAcPHkRjY+Oqbp8gIMm5wGyrjOy7wWBAX18famtrfbtTLnD69GlcdtllDo/NzMzMmp4VFiLl0CFQ3d2zRQvLgtm4Ecydd4JyuhlOqifx2w9+C41Qg+io2YtLHCbG7RW3oza91u32pVLg9ddFaGtzPMHj44Hrr2dwySXLM5Dzd4yOjkIul6O6upqfUdknWhNlCjG9W8ttfrPZjNbWVhQUFKyZpbSVSK2Hh4cxMzODqqqqkCptAZhMJrS2tqKkpMSbstkVgSRbKxQKmM1mJCYm8t5Bq83vGhwchNFoREVFxZyihGEYPPDAAygoKMDPf/5zrxct+/btw6lTp6BQKJCeno6f//znaGpqwi233ILR0VHk5OTg0KFD3ixGg0tVBDgWLmazGR0dHWhoaPDxXs3F6dOnsWXLFv4km5ycxMjICGqLihDz7LOgRkYuFi1bt4K58UZQThfLxwMf4y+f/wXiODEiwmcH2KKkIuyv2o/ESNc3A4MBePttIT7+2NFALiwM2LaNxbXXMgjGsZqsDdtsNpSXl8974zEajbwyheM4pKSkIC0tzS9mXasFvV6P9vb2Ne07slipNSEtm83mBc+tEC4WLYF0bjEMw8cQzMzM8LEkycnJXo8hGBoagl6vR6Ubn64HH3wQqamp+PWvf71Wzr3gK1xsNhvYCyPyUmXHq4nPP/8cmzZtgkAgQH9/P3Q6HaqzsxHx5JOgpFKwHAdwHJjdu8F+4xuwb39YaAue+eIZnBo4xcv7BJQAO4p2YHv+dpfhiDQNfPKJAG+9JYTJ5PjcJZfMBiEGyD1kyWAYhneWLCgoWNKMxGq1QqEIvETrlWBmZoaX8MbExPh6d/wG9lJrmqb5ZYTJyUkAcMk7CMERxIivrKwsYKM0SCwJ6cYAcOBIefIcIHy8ysrKOUUJy7L44Q9/CLFYjN/97ndrpWgBgr1w4TgOZ86cmbMk4w84d+4cKisr0dPTA7FYjOK4OIj++EdAreY7RvQtt4C78kqH941qRvHYJ49hUjPJyzqTxEm4q/ou5CfMtXvmOKCtjcKxYyJciPrgUVg4ayCXk+O3P+eKYbVa0draivXr16+Yo+Eq0ZrIa4NlaUAul2NwcBA1NTV+Y+DmjyAuzv39/WAYBunp6UhNTUViYmLQnAuehsFggEQi8Xo8xGqDTG4UCgUMBgOfbL1S2f3o6CjUajWqqqpcFi0//vGPwTAM/vCHP6ylogUI9sIFcM0l8QecO3cONpsNOTk5yGIYCJ94AtDrZ4sWgQD0/v3g7Ja4OI7DB0Mf4Plzz4MDh/iEeFCgsHHdRtxSdgvEYXP9CMbHZw3k+vsdf+eUFKCxkUZNjX8YyHkLJAnbG9kwHMdhZmaGT7SOioriTe/8TY2wWExOTmJiYgK1tbUBewyrBZZl0dbWhri4OOTm5q6JVOuVgBQtwe4ebC+7V6vVEIvFfGduKXy5sbExKJVKVFdXuyxafvazn0Gj0eDPf/7zWitagGAsXGiadlAS+WPhotFocO7cOZSVlSFLr4fgqacAiwUcy4KLiAB9771A2UVnW61Fi+dansPp/tMQi8WIiY5BhCgCt5Tdgk3rNs1pTc7MAG++KcQXXwhg/zNGRgI7djC46ioWwS54IMsdq3GjJPJamUzGJ1qnpqYiLS0tILoWHMfxxNLq6upQx2ABMAyD1tZWpKamIjs72+E551RrADwvZi1xpOyh1+vR1ta25pYeOY7j+XIKhQIsyy7KyXl8fBxyuRw1NTVzihKO4/Af//EfmJiYwLPPPrtWr9VQ4bLamJ6extDQ0OzykF6PuEOHwNH0bNESFQX6gQcAu4TPDnkHnm1+FqPSUcTHxyMyIhI58Tk4UHUAadGOWnmrFfjgAwHef18Ie8NggQC44goWO3YwWAv3DalUipGREVRXV/ukcPBFovVyQUjLNE2jrKxsLc7elgSSpZOVleWQWuwOVquV58WsVGodiCA5TdXV1Wu2cCMgTs5yuRx6vd7lUvPk5CSmp6dRU1MzpyjhOA6//e1v0dvbi+eff34ty+3XRuFir97xFYjyQKPRoKamBpOvvILMU6cQHh4+W7QkJID+3veACzdDG2PD8b7jeLvnbWi0GiQlJSE8LBzX5l2LXUW7HMIROQ44d06A48eF0Ggct1tZyaGxkcY8IatBA47jMDIyApVK5Tc5OvaJ1gaDgR+4fCGpdAbLsujo6EBkZGQoo2kRILb0y83SCcRU65VAq9Wio6MjVLS4AMuy0Gg0fLJ1eHg4wsPDYTAY0NDQ4LJoeeyxx9Dc3IwXX3xxrS/lBl/hwjCMg1suUe/4sqVGnEcjIyNRUlwMwfvvQ3fwICIiIhAREQEuLW22aLnAw5jST+Gg5CB6pnpgMpuQlJSERHEi9lftR0lyicNn9/fPGsiNjjr+lpmZHJqaGJSW+u1P5VGwLIuenh6wLOu3nQNPJ1qvBDRNQyKRICUlBTk5Oau67UAEMUvzFF/KndQ6UPNznEHCJaurq11mhIXgiNHRUYyOjiIyMhIMwyApKQnj4+O48sorIRQK8eSTT+KTTz7BoUOHQryptVC4nD9/HtXV1T77sckNLzMzE9lZWRAcPQrqH/+ATquF1WpFZEkJRP/yL6Di4sBxHE5PnMbhrsOQq+QAByQkJqAqtQp3VN6BmPCL6zxyOXD8uAgtLY6/YWwssHs3g0svZeGHY7dXwDAMJBIJ4uPjkZ+fHxCdAzJwEdO7yMhIngvh7XOVdA5ycnKQsRZacSsEIXl703eESK0VCgVsNhu/vOirVOuVYGZmBt3d3aFwyUVCJpNhZGSEd1umaRrj4+N45JFH0N7ejszMTBgMBrzzzjtrxghyAQR/4dLc3IySkhKfVP1arZa/4SUnJkLw97+DOnsWHMeBY1kYsrIwtGMH1CYTwqLC8In2E/Tp+qBWqxERGYGEuATcWHIjrsy+kr95GY3Au+8K8dFHAtjHMIlEwDXXsPj61xkEAB/UY7BYLGhtbUV2dvaiOAf+CkLolMvlCyZarwTE/MsbSqtgBOForKYahmRqyeVy6HQ6JCQk8PJafydjqtVq9PT0oLa2NiCI6b6GXC7H8PCwWyXfs88+i8OHD+PSSy/Fhx9+iNjYWOzevRu7d+9GYWGhD/bYLxD8hYtEIkF+fv6qS/CkUikGBgZQU1OD6PBwCJ55BpREAu6CVJutqQFz111AWBh6lb14+sunMamahNFkRHhYOApSC/DA5geQnTCrWmBZ4NNPBThxQgij0XFbGzey2L2bwVobh4i7qy+zTrwBkmgtl8vnJFqvZPZNBuFg89HwFshyR1VVlc84Gq7ktf4qtVapVOjt7Q0VLYuEQqHA4OCg2zDOF154AS+99BLefPNNfgIzPj6OEydO4M0338TBgweD6r63BARf4cKyLGw2G/93Z2cn1q1bt2p5GBzHYXBwEGq1GjU1NQijaQj/9Cegv/9i0bJlC5h9+8CAw1sDb+HdoXdhtpgxMzODxIREXJ55OS6JvQQalQZhYeHQaLLwySfpkMsdZ1t5ebMGcvn5fvtzeA3kJllZWRnUEkvn2TfJS0lMTFwSj4d8XyHOweJAvi9/Wu4gUmtC9gbg0Jnz5ZKSUqlEf38/amtr13S+12KhVCoxMDCA2tpalwXooUOH8Mwzz+DEiRNBfX9bJoK/cOnp6UFycjJSUlK8vm2GYdDR0QGRSITS0lII9HoI/vhHYGwMxFCF/frXwezZA4VJiYNtBzE8MwyD0QCjwYis9Czsr9mP6rRqAMDkJIWXX2YgkdhgNpsAUBCLI7F+fST27qVQVxecQYgLYWpqCmNjY6ipqVlTN0ky+5bJZFCr1YiJieFn3/OpUog8fK19X8uFXC7H0NCQ339fxLFVLpfDZDL5LARQoVBgYGAAdXV1ftcF8keoVCr09fW5/b6OHTuGJ554AidOnAjYWAQvI/gLl4GBAcTExCA9Pd2r27VYLGhpacG6detmVRoKBYR/+AM4mYwvWpimJrDbtuHLqS/xUudLMNNmaLVa0DSNzYWbcaD6ABIiE6DVAidOCHHmjKOBnEjEYNMmOYqKRgHYeJOztSI1tDdKq6qqCkoJ6WJBEq0JodNdovXY2BhkMhlqamrW9Pe1WExNTWF8fDzg3IN9JbUmRZ67zkEIjlCr1fxymqui+MSJE/jd736HEydOrNVloMUg+AoXjuNgtXNfGx4eRlhY2IpzauaDTqeDRCKZJeEmJwOTkxA+/jg4jWa2aKEoMHfcAePGWhzqPoQvJr4Ay7FQq9QIDw/H7fW3Y1v+NjC0AP/4hwDvvSeExXLx8ykKuOwyFjt3MiDUBJvNxpucmc1mXoUQFxcXcCqExYBlWXR3d4OiKJSUlPil3NmXMJlMkMlkDonWJpMJNE27DGgLYS7Gx8chk8n8xgNouXBV1JL7gyeXvWQyGYaHh91yNEJwBFFb1dXVuSxa3n33XfzqV7/CyZMnV2WFIIAR/IXL2NgYOI7zmleFTCZDf3//LAk3OhoYGIDwySfBGQyzLxCJQN99N4bzEnCw7SDkBvlsWJ9KiZzkHHz/su8jJy4XX301ayCnUjl+fmnpLI9l3Tr3XznDMHzLmPAg0tLSkJiYGBRFDPEcSUpKQm5ublAckzdhNpvR1tYGi8UCkUi0JhKtVwr7Tp6/K3eWCpPJxN8fbDYbfz6sZJIjlUoxOjoacJ0pX4EQvd0Rlz/88EP87Gc/w8mTJ5dlbrjGEPyFy9TUFMxmM/LtbPQ9tZ3h4WEoFAr+4qU6OiD485/Bke1HRsJ2//14L2wEb/a9CZZjYbVaoZ5R49ria3Gg4QCmxsQ4elSI4WHH3yIjA7jhBhrl5Uv7qlmWhVqthlQq5U3O0tLSkJycHJCzbrPZDIlEEvIcWSQYhkF7eztiY2ORn5/vYHoXrInWKwFxtDabzSgvLw/Ia2QpcCZ7L+d8mJ6extjYGO87EsL80Gq16OzsdEv0/uSTT/DjH/8YJ06cCGhLh1VE8BUuwCzfhIC4lG7YsMFjn0+s0gUCAe/SSp0/D+q55wASNxAbC9W37sRzM/9Ar7IXAGA0GWE1WPHty76Nsrgr8MYbQnz5peONMjoa2LWLClLfMwAATcFJREFUweWXr9xAjuM4aDQa3uQsOjqaTzAOhBsOke+WlpaumioskGGz2dDa2oqMjAxkZWXNeZ4kWpMUY7FYHPCJ1isBx3Ho6ekBx3EoLS1dc90oYjtPzofFmCBOTU3xCeKBcA/xNcg9rKamxqWa78yZM3j44YfxxhtvuLxmQ3CJ4C9cVCoVpFIpyuzSllcC4jqanp6O3NxcAAB16hSoQ4dmzVYAIDkZkluuxkHZ2zBYDeAwu+acLEzGQ1f8/yD5fD3+8Y+5BnJf+xqLb3yDgTfUlxzHQa/X8wnG4eHhPJnTH0l1SqUSfX19PvXQCCSYzWa0trYiPz9/Ua1md4nWnuZB+CtYlkVnZyciIiJCOU1wTDImUmvCi4mOjgZFUZicnMTU1BRqa2tD3bpFgKRiuytazp8/j3/6p3/C8ePH+bEkhEUhOAsXq9UKsv8ajQZjY2OorKxc8efqdDq0tbWhuLh4ljzFcaBOnAB18uRF5VB6Go5+IwcfqL8EcHGWe3n6lSgX3Ye3T0ZAr3f83Nra2SDE1eRjGY1GnswpEAh4hZI/GEdNTk5iYmICNTU1fllU+RuIJX1JScmyO1Mk0Voul4Omad70zh8TrVcKlmXR1taGuLg4jy8hBwucpdZhYWGgaRr19fVrsju3VBgMBkgkErcBky0tLXjggQdw9OjRteyAu1wEf+Gi1+t5B9uVQC6Xo6+vD9XV1bOGQBwH6pVXQH30Ef8abWYK/rAJGGWUAACGZWDVWHF1wr0Y+eoKTE05ft85ObPE28JC336dZNCSyWRgGMZnMmti3qfX61FZWRma1S0CGo0GnZ2dqKqq8phRlT8nWq8UDMOgtbUVqampyM7O9vXuBARGRkYwPT2N2NhYaDQa3j8oOTk5VMS4ACla3F2T7e3tuPfee3H48GEUFxf7YA8DHsFfuJjNZnR0dKChoWFZn8VxHEZGRiCXyy92AGgaguefB86d41/Xvy4Cf6ynYRLMLhfZbDZEqFORPv0vmBp19JBJSAD27GGwcaP/Gci5kll7wm5+IZDWfVhYGIqLi4Nulu8NEOOv6upqry3vEHKvXC7HzMwMYmNjebJ3oBWWNpsNLS0tyMrKCpEgF4nR0VGoVCpUV1dDIBA4SK2VSuWaW2JcCEajEa2trW6zrbq6unD33Xfj5ZdfRnl5uQ/2MCgQnIWLzWYDy14sIJqbm3HJJZcs+XPIYArgouLAYgH15z+DuvA4zdL4LN2CVzZFgRXOzkZNBhqinmtAjd0MkfDijCQiAti2jcE117AIhBUQIrOWyWTQ6/X8zNvTMmubzQaJRILU1FSvydaDDb5YTvNlovVKQbhpeXl5IbnpIjE8PAyNRoOqqiq3nTb7JUZPSa0DFSTAtLy83GUWWG9vL/bv34+///3vqK6u9so+/O///i+efvppUBSFqqoqPPvss36x/O9hBH/hwrIszp49iy1btizpM6xWK99SJt4hnF4PwRNPgBoaAgBorFq8lWnER5dkgBNQYFkOqpFEMOfuQGpkBX+xUxSweTOLXbsYJCR49FBXDfayWk/KrE0mEx+EGRpQFofh4WGo1WpUV1f7tOvhnGhNunP+loVkNpvR0tISSsReAoaGhqDT6ZZkXugJqXWggpxjZWVlLm36h4aGsG/fPjz33HOor6/3yj5MTEzgiiuuQGdnJ8RiMW655Rbs3LkTd911l1e250O4LVyCRudG2ptLgV6vh0QiwYYNG5CamgoA4NRqCP7wB2ByEhw4jGnHcLJEgJaGLHAUBaUC0LRegoTJPUhLSOWXgDZsmOWxZGX5da23IAQCAVJSUpCSksLLrKVSKfr7+5cts9Zqtejo6EBZWRkSArWiW0VwHIe+vj5YrVbU1NT4nG8SHR2N6Oho5OXl8YnWPT09fKK1P8y8CXG5tLQ0dI4tEgMDAzAajUt2XBaJREhPT0d6erqD1HpgYIDvzqWkpPh1/tNyQIqW0tJSl0XL6Ogobr/9dvz1r3/1WtFCQNM0T6Y2Go1Yv369V7fnbwjowmUlN0qFQoHe3l5UVVXxa5ScVArB44+DUiphps3oVfXig0vS0FO1Dno9MD4Ug7D2RqShDjEJMaAoIC0NaGqiUVnJ+R2PZaWgKAoJCQlISEhwkFmPjIwsWmatUCh4x2F/m6H7I+zluxUVFX7Xho+IiEBWVhaysrL4mffY2Bh0Oh0SEhJ4J+fVLLaIh4Y7vkEIjrA346usrFzROSYQCJCYmMir3Eh3rq2tjY+ksJdaBypIRl1JSYnLwnhiYgK33XYbnnjiCWzatMmr+5KZmYmHH34YOTk5EIvF2L59O7Zv3+7VbfobAnqpiKZpMMQIDsDp06dx2WWXzfsejuMwOjoKqVTqEBjGjY5C+Ic/ADod5EY5+jWD+HhrAbrz0jAyQsE8VoKk0d1Ijs6CWBwJsRjYuZPBFVewWIv+TIuRWY+Pj2N6ehrV1dV+z43wB5DIg+Tk5IDze1huovVKQXJhQj5AiwPHcejv74fVakV5eblXiwl/SbVeKaxWK5qbm7FhwwaXgYjT09O46aab8Lvf/Q5bt271+v6o1Wrs3bsXr7zyChISEnDzzTfjpptuwp133un1ba8ygn+piIDjOLcXI8uy6OrqAsuy2LhxI3/xsN3dED71FBiTAQMzg5i2KPGP7aX4QpiEyS+FyJjZibjJBiQnJSEiIgxXXcXiuusYrOX7ZFRUFPLy8pCXl8cT9zo6OsAwDFJSUmA2m0HTNOrq6oJ+3dsTIFyrQFXCCAQCJCUlISkpyUGRMjIy4jbReqVQqVTo7e11a7EegiM4jkNvby9YlvV60QIA4eHhWL9+PdavXw+GYfiIkp6enoCRWpOipaioyGXRIpPJcPPNN+O///u/V6VoAYD3338f+fn5PL3hxhtvxOnTp4OxcHGLgC5cnC88wnNxdUESiWRKSgry8vJmSbgcB66lBcJnnoHeOINeVQ+0QgavXlaJs/J4CM2pKJDdBkqbgqSUZNTWUmhstCE9fc7Hr2lERkYiOzsb2dnZsFgsaG1thdVqhUgkwtDQ0KrIrAMZRKUQLKRSiqIQFxeHuLg4FBYWwmQyQS6Xo729HSzLemT5gCQW19fXh7p5iwCJPQDgk9gDoVDowJ0jhe3o6KjfSq3JmFFYWOjyulQoFLj55pvxH//xH9i2bduq7VdOTg4+//xzGI1GiMVifPDBB9i4ceOqbd8fENBLRQzDgLbz0z937pxL2ajBYEBrayuKiop4RQvHccDp0xC8+AImNGMY1Y5BLQzDn0orMCyIQarlUqRMXwfQIlRWJmDvXhbFxX79dfgcRO6clpaG7OxslzLrtLQ0JCQkhIqYCyD8jPLycpeEv2CD8/IBOSeWkmg9NTWF8fFxryYWm0wmNDU14eTJk3jiiSdw8OBBAEBFRQWeeuopt9LT8fFx3HfffZBKpRAIBLj77rvxve99b8mvtVqt2L17N06ePLnipTaO49Dd3Q2BQOCX3kn+KLUm9hr2nQ17qNVq3HjjjfjJT36CPXv2rPr+/exnP8Mrr7wCkUiEuro6PP3000FHhkawyqGdC5fm5maUlpY6VO1KpRLd3d2orq6+SMLlOHDvvQfm8CvoU/dBZdBgjI3En8qqoItKQIFuHwTTBUhKEuLOO2OweTO34iDEYAfpGhQWFrq80J1l1kRC6cs0a/vBSSgUgmEYXHHFFVi/fj2OHDky73u/853v4K233kJqairOnz+/rNdOT0+jqakJ77zzzpooWpzBMMySE63HxsagGB9HnVIJKjMT3Lp1swx5D59DTz31FGiaxg033IBt27bhyy+/hFgsxje/+U1s374d3/zmN12+b2pqCtPT06irq4NOp8MVV1yBl19+2WWG2kKv/dWvfoWCggLcdtttyz4OjuPQ1dWFsLCwgMhq8gepNU3TaG5uRm5urkvrBo1Gg7179+KHP/wh9u7duyr7tEYRnBwX54tQKBQ6FDKjo6OYmprCxo0b+WqUY1ng2DFoj7+CHmU/NDoaQ8IYHKyrgEBYgkrlAVjUHHbtBm66KRoREX5du/kFiB39fF0DZ5k1IXISmXV6ejqSk5NXNYn2+eefx549e/gb4h//+EeUlJRAp9Mt+N4777wT3/72t3Hfffct67VSqRSjo6PYuXMn3nrrrRUNToEK+yUC+0TrgYEBl4nWQ0ND0Gq1qE1NRdiLL178IJEIXHo6uIwMcOvW8f8hJQXLlfq98sorePbZZwHMlZ7Ox0Fat24d/3xsbCxKSkowOTnpsnBZ6LW7d+/Gz372s2WfGxzHoaOjA5GRkSgsLPT7ogVwlFo7nxOrIbWmaRotLS3IyclxWbTodDrccsstePDBB0NFiw8R0IWLM8ismWVZdHd3g6ZpbNy4kR+YWJoG+/e/YfTtlzEkn4ZeT2E4Ph4v1FYgjdmNNMXXsX7dGO75URJyc+c6IoYwFzKZDENDQ6itrV30+jRFUbyE0l5mPTw8vOw0a45b+hhlPzhNTEzg7bffxo9+9CM8/vjjC773iiuuwMjIyKK24/zasbExyGQy1NXVITIyckWDU7DA+Zwgstrm5mb++hWJRKiqqoLwzBnHN9M0qIkJUBMTjo+Hhc0WMenp4Navv1jQJCbOe7JYrVYMDQ3xyq6HHnqI7+Rec801i+YzjIyMoLW1dVHyWFevraiowFdffbWobTmDZVl0dHQgKioqYMP97M8JwPtSa5JvlZmZiXQXREaDwYDbbrsN991335q/Xn2NoCpcRCIRLBYLvvrqKyQmJqKsrIwn4bIWC7RP/h497x6DfMYMhqHQk5KEY5WbscF8LzYkpaPminZ8/evFfkUQ82eQAXglSbIURSE2NhaxsbEoLCzkb06tra2LTrPmOODnPw9DbCyHdetm/1u/fvbf2FjXY5Tz4PSjH/0I//mf/7mobstKMDAwAL1ej9raWgiFwhUNTsEKiqIQExODmJgY5OXloaOjA2azGQzD4Pz588igaWRs2QKxWg3B9DQwM+P6g2w2UKOjoEZHHR+PiHDszqxfDy4jA4iPBygKSqWS9+pQq9V488030dHRgYSEBNx555146aWXsG/fvnmPQa/X4/bbb8d///d/u7SFX8xrhUIhwsLCoNPpluRPw7Is2tvbERsbG1Sp2PZGiIQrRUz0VhoQyjAMWlpaHLpg9jCZTNi3bx/uvPNO7N+/3xOHE8IKEFSFC8Mw6O7uRklJCTIyMgDMtksZgwGdP3sEE2c/g8U6u/TTsi4NnxTfjKvC78SWy+TIyupBVVXlqi5VBCqIs6vFYkFdXd2yOSocyzn+y7CIEEYgMy0TmWmZMBmMUCiUaPm8GSzLIikxGSnJyYgSR4HjAHAcOJaDTstBPRKGGXAYa+PIToIChygxh9RUDqkpLNLSWCQlsKit5TCjkKIoJgaYmsKHH36Ioqgo1Gdk4PPBQaSYzaDGx/nP4f9z+jtsYgI5Viuo/v4FXxs+OYlcnQ6Czk7U5OXNZmBxHEQA6gCYTp9GlF3BTLn5HIe/F9im278B4EJUhtvXke/QU/uwmG06/c2xLKYmJ7FeJOJ5UyxNQ6/XQ6XVwmqxIDoqCjFZWYiy2SDQakFpNAD512x2PB77bRMwDGC1zmaTMQxsP/sZIq+9FmazGQDw4YcfIi8vj9/+nj17cPbs2XkLF5vNhttvvx233norGhsb3b5uMa+1Wq1LyqBhWRZtbW2Ij49HXl7eot8XaLCXWhP+3HKl1qTTkpGR4dKB1mw244477sDevXtxzz33eONwQlgiAnqUtm8PkhM3JyfHoWixamfw+s3fBd1lBoU8AMBkbBwgvQTfDk+EWHwQYZNC0AkJaGYHcOGNs/+y7Cw7mXW8sfKEZnbhmzl/n3T3WnKTvvAvxbL8oOzqdRf/htttzvc3BY4vFMjjFHfhOO1fN+dzAGD22M1GIwQUhciICHxh//rZF899LziHz3D4jhcBAQABx0FFM5AzNFiOg1AohEgogkAggNUGbFPNbatw3OxYyV74V80CWgGw8WYGqYwF35XJEParXyHp/HnU9Pfj6PHjYGgaW202fLZjB762gC9Dsk6He5RKiB57bN7XcRwHwfg4Dmi1KH7nnTktoDt0OsS88EJAmXJ5HRwHlUqFhPBwxMTGAhcKSQGAhAv/geNgVihgNpmgsFoRFhYGsViMiORkUCkpgM0GGI2gjMbZf/X62aLGZAJoevZ5O04cAECtRmJiIhiGgdlsRnZ2Ns6dO8dLT0+dOuVg575z5048/fTT/IDHcRweeOABlJSU4MEHH3T46KW8FpgVFthzfBYCy7KQSCRISkpaUyGmzvy5pUityXeWlpaGzMzMOc9brVbs378fO3bswHe+852A4AmtBQR04UIwNjaGyclJ5Obm8h0TjuPAMAwEkVGwcYlI085yDIxhkSgXRiFW0Alb61cQicIgChMtST61lFM3mE5zjuNgNZsRIRJBFBYGmI2rd3wUBVGYCKIwEXDht7XRsyGbQoEQyclCWKxCWCwUrBbARgMMPVcWx3GASAhAFAGOZcEwDDZu3Mj7IExPTaGtrc2haHnrrbfwtauuQtQiHAedX8uyLFRKJcLDw2cLE6cbn8VsRmRkZKhosQPHslCqVBBHRiI6Jsb9CykKkZGRsx0JjoPVZoPZZIJWq4WQohDFcYi02UCZTLNFi9EIUBS4yMjZgkUkAkXTs/9P07Mnh80GALj22mtx+vRpXHPNNWhqasLll18OoVCImpoaftbNsiwGBwd5DgYAnDlzBi+99BIqKipw6aWXAgAeffRRbN++fdGvve666wAAH3/88aKt3BmGgUQiQUpKCrKzsxf/ZQcZnD2EiNS6q6sLVquV58XExcWB4zj+O8vKyprzWTabDffccw++9rWv4cEHHwwVLX6EgC5ciNTPYrFg48aNkEqlsFgs4DiOVxcJRCJU3XsfJr58FGx4FJKSkiAQcrBYzIgID4cg5Oq6KHAsC7PFgvDwcM/LEikKfIlHURcHd4oCZ/83KHCgAAEFCkAYKHAAaJaBhaYh1YjAMkIgTARB+OxrZ7stFBiWAsMKIBQCphgG4igKMUVFGDWbkV9QwG/LbLVCGRkJ7sLsiwPQbTRiW1ERODLzpSi8eugQhoeHoTca0XvoEK7Ztg0NDQ1oNRpxbXk5uPBw2BgGU1NTOHXuHIZHR2EwGCA5fBjf+MY3sPnSSwGKQmdrK6jaWnDV1e6P2+E7wMX/J8WOu7/J+xb6exGv5Ra7DyvcJs0w6O3rm+U1paaCcX492Rf7bTIMKIUCIqkUsVNTiJueBjM9DYvFghmLBRAKEXGBJyUUCh2OgxMIwKWlzXJd4uPBXHMNAODb3/42Hn/8cVxzzTX46U9/ip/+9KdwRldXFxobGx1m8pdddhkMBsOc13Z0dCz6tQSvvvoqfv7zn7t9noAsdaSlpbkcgNcy7M0xaZqGSqXC+Pg4tFotaJpGUlKSy+UhmqZx3333oaGhAQ8//HCoaPEzBLSPC03TGBoaQnZ2NiiKglQqhUajQX5+PiiK4k82db8SnQe/QHSUCAajEeoZNTLWrZttwVIUKMHFmyP//xR1YTy98DwwO7YKLn4u+f+Lz1/4DKHg4meR9zm9znmblGB2oKWoi387vPbC39SFfRMI526T7K/93xSZyPPbhMvjtN8meY78rdPr0D8wgNKyUsTERF/cN4GAf6/jNh2Pa8427L9bD94Pnn9eiE8/nZWuWiwWhIeLkJ8fjtLSSOTlUcjNnSXskrqrpaUFjz/+OP7617+6/cyOjg48//zz+M1vfrPg9u1fS9KKS0pKHGbZzti3bx9+/vOfo7i4eMnHG2wgrsvuTL9cQfjccxC0tMxyVdyAvbDsYzKbYYqPh6iwEFHl5RCXlgJZWYAb9drBgwdx5513+iSywmq14tChQ7jjjjvmfZ09qXStJQQvF6TTEh4eDpFIBKVSCZZlcfbsWezduxeZmZl44IEHUFBQgJ///OehosV3cPvFB3ThAsxe4NwF3olGo4FEIkFGRgbS09MRY9dm5jgOIyMjUKlUqKqq8ut8DH+CVCrF8PAwampqlkQS9AW+/FKA9vbZAiUnh0VCgg4qlRTKC0s1rmTW3hiciK/NQmnFix2c1gKIgWFxcbHLTBh3EP797xCcPev6ybQ0sDk54LKzwV34lxYKHQzOfJVo7QkQz5HMzMyAzLfyBYi3TVRUFAoKCvjHp6en8ac//QnvvfceNBoNsrOz8X//93+orq4OFS6+Q3AXLizL8v/Z28ybTCZ+TXNsbAxCoRAlJSUBd4PyBUiKtlKpDIpCj8is50uz9gQUCgX6+/tDwX9LAOlOlZWVLdlBWPDxxxAeOgSkpFwsUnJzwWVlAQt8/86J1tHR0bzpnb+rC0nRkpWVxYsRQpgfHMehs7OTN+RzBsuy+MEPfgChUIgtW7bgzTffRE9PD7Zu3Yo9e/bgqquuCvj7YIAheAsXi8UCmqZBwhXtq2OapiGVStHf3w+KovhOjC8zMAIBJJCNYRiUlZUFXaFHCHsymQwMw/BFTPQK475Jho6rvKwQXINkNS3UnXILk2lWMrbC387eCFGhUCAsLIxXo/hbp5GE/+Xk5Lg0SgthLhaKPmBZFo888gg4jsPjjz/O3/OsVis++ugjvP766/jlL38577JvCB5HcBYuExMT+MUvfoHGxkZcccUVc2ZJUqkUQ0NDKCoqQmJiIpRKJWQyGXQ6HZKSkpCenr6kcLe1AIZh0NbWhtjYWBQUFAT9d0OMrGQyGcxmM1JSUpaVZk2WIaurq33CiQhEzMzMoLu7G1VVVSsuGj0Nkmgtl8v54taTLq3LBQn/y8vLc2lJH8JckImYQCDAhg0bXBYtP/vZz6DVavHUU08F3UQtgBGchYvNZsP777+PI0eO4PPPP8fmzZvR1NSEK6+8EidPnsQvfvELvPvuu0hJSXF4H8uyfBGj1WqRmJjIpxav5ZPWYrFAIpEgMzNzTRL9SMDbUtKsiRmf1WpFeXn5mj5/lgKlUom+vj7U1tb6XUfDGTabjS9ilpto7QlYrVa0tLQsiby81sFxHHp7ewHAZTI2x3H4j//4D0xOTuKZZ54JTTr8C8FZuNiDpml89NFHOHToEE6ePImIiAj8+Mc/xg033DBvIBfLslCr1ZDJZJiZmUF8fDzS0tJmZdNraBAiPIMNGzYgOTnZ17vjc7hKs3Y+L1iWRWdnJ8LDw13O5EJwDZJLVVtbG3BLas6J1nFxcfx54c1Bz2q1orm5GYWFhXMmYiG4Bsdx6O/vB03TKC0tdVm0/Pd//zf6+/tx8OBBv+c1rUEEf+ECzBYvP/zhD6FUKrF//368+eab+PDDD1FZWYnGxkZs27YNUVFRbt9P0kilUinUajViY2P51OJgLmLUajV6enpQWVnpoMQKYRb2adYqlQoxMTFISUnB1NQUkpKSgtpa3dOYmprCxMQEampqAp7oSJSM5LwQi8X8kpInj81isaClpQVFRUWhScUS0N/fD6vVymfW2YPjODz22GNobm7Giy++GPDnYpAi+AsXjUaD22+/HZdddhn+9V//lT9RWZbF559/jiNHjuC9997Dhg0bcMMNN2D79u3zDtL2NyWlUomYmBhecRBM7cTp6WmMjo6iurra71v2/gDughV9R0cHBAIBoqOjkZ6ejpSUlIDrHqw2xsbGIJfLUVNTE1TXEDB7Xtgr1xayml8szGYzWlpaliwTX+sYGBiA2WxGeXm5y6LlySefxKeffopXX301dN36L4K/cHnhhRcQERGBm266ye1rWJbFV199hcOHD+Ptt99Gbm4uGhsbsWPHjnllmCT/Qiqd9QQRi8X8YBWo7UWO4zA8PIyZmRlUVVUF7HGsNojfSFFREVJSUmAwGHglijdl1oGOoaEhaLVaVFVVBXX3koAo1+RyOWw2G0/6jomJWfSSIilaFjIxDMERQ0ND0Ov1qKysdFm0/PWvf8U777yDo0ePzksjCMHnCP7CZakg0e+EE5Oeno7Gxkbs2rVr3pmNvWxSLpcjMjKSNzYLlHYjy7Lo7u4GAJSWlq6JgcQTINLd8vJyl4Wut2TWgQzCM7BYLGuWvGyz2XjSt8FgQFJSElJTU+cVA5ACubS0FAkJCau7wwGM4eFhaLVaVFZWuvxun3vuObz++us4duxYyGfJ/xEqXOYD0fgfPnwYJ06cQHx8PBobG7F7926kpKTMO0MiM265XA6RSIS0tDSkpaX5bfuRpmm0tbUhISEBeXl5IULpIkF4QIuV7npKZh3I4DgO3d3doCgKJSUla+a454OzGCA2NhapqakOS9BGoxESiWRZhnxrGaOjo1Cr1W67ei+88AJefvllvPHGG/NyHUPwG4QKl8WCzBAPHz6MN954A5GRkbj++uvR2NiI9PT0eW++RqORL2IEAgFfxPhLO9JsNkMikSA7OztkEb4EyGQyDA0NLTv2YDky60AHUVwRl9JgPc6VgOM4aLVayOVyPpYiPj4eU1NTqKqqQlxcnK93MWAwNjYGpVKJ6upql0XLoUOH8Mwzz+DEiRMhAULgIFS4LAck3+jIkSN47bXXIBAIsHv3bjQ1NSEzM3Pem7HZbIZMJoNMJgPHcUhPT/cp90Gv16OtrQ2lpaWh9fIlYHx8HNPT0x5TwSxGZh3oICaGpKsXwuKgUCjQ0dGBiIgIB3LvWl5qXAzGx8d50rera+jYsWN44okn+G56CAGDUOGyUnAch8nJSRw5cgRHjx6FxWLhOzELLblYLBa+iGFZluc+rFa7UqVSobe31y8dSv0VHMdhaGgIOp0OlZWVXlHBuJJZp6WlITk5OWDJ0jRNQyKRIC0tDVlZWb7enYABmVhUVVUhJiYGVquV50tZLBY+cy0UV+KIyclJfmLh6ho9ceIE/vd//xcnTpwITdgCD6HCxZPgOA5SqRSvvfYajh49Co1Gg127dqGxsXFBIzJyQ5JKpaBpGikpKUhPT/daQTE5Ocnn5/jLkpW/g3AzOI5z6QHhrW3qdDpeoURI34EksyYZOllZWaGlyCWAkL6rq6td3gcYhnGIK0lISEBqampQdemWg6mpKUxOTqK2ttZl0fLuu+/i17/+NU6ePOlV/5uZmRnce++9aG9vB0VReOaZZ7BlyxavbW8NIVS4eBMKhQLHjh3DkSNHIJfLcd1116GpqWnBQY9YidvPqpYqmXQH0jEgEtRg883wFliWRVtbG2JiYnya1WRP+ibLBv4ssyYmaQUFBSE7+iVAq9Wio6PDbdHiDJJoLZfLoVKp+ETr5OTkgFE1egLT09MYHx9HXV2dy3vbhx9+iEcffRQnTpzweqbTgQMHcOWVV+Lee++F1WqF0WgMKcE8g1DhslpQq9U4fvw4jh49itHRUWzfvh1NTU0L+lfQNA2FQgGpVAqTyYTk5GSkp6cvS4XCsiy6urogFApDao4lwGaz8csc2dnZvt4dHoQvZR/4508yayLdDZmkLQ0ajQZdXV2orq5e1rKxvTWDUqmESCTy20RrT0IqlWJ0dBR1dXUul1Q/+eQT/Ou//itOnDiBjIwMr+6LVqtFTU0NBgcHQ/dZzyNUuPgCWq0Wb775Jo4ePYq+vj5ce+21aGpqQn19/bxFDMMwvJRWr9cjOTl50aFuhGOQnJyMnJyc0MW0SFgsFrS2tiI3Nxfp6em+3h238DeZNcm4Ckl3lwZStNTU1HjMT8RfE609CZlMhpGREdTW1rrsMJ05cwYPP/ww3nzzTWRmZnp9f1paWnD//fejvLwcra2taGhowGOPPeY3k4oAR6hw8TWMRiNOnjyJw4cPo6OjA1u3bkVTUxMuueSSeZdxnEPdEhMTkZ6e7lJKazab0drairy8PL8efP0NZPANtI6Br2XWhJtRWVmJ2NhYr28vWDAzM4Pu7m6vJmP7S6K1JyGXyzE0NIS6ujqXRcv58+fx4IMP4vjx48jJyVmVfTp//jwuvfRSfPbZZ9i8eTMeeughxMXF4Ze//OWqbD/IESpc/AlmsxnvvvsuDh06hObmZlxxxRVoamrCZZddNq+ahJhXSaVSXkqbnp6OxMREGAwGtLe3o6ysLLS+ugRoNBp0dnYG/OC72jJrMvgud5ljrYIYGXqzaHEGmfzI5XJoNJpVS7T2JJRKJQYGBtwWLS0tLXjggQfw2muvoaCgYNX2a3p6GpdeeimGh4cBzC5T/dd//RdOnDixavsQxAgVLv4Kq9WKDz74AIcOHcLZs2exZcsWNDY24qqrrpqXbEdIevbch6KiIqxfv35NKw2WAqVSib6+Po+26/0B3pZZk+9tNQffYIBKpeK/N18p/NwlWvuzeo18b3V1dS73sb29Hffeey8OHz6M4uLiVd+/K6+8Ek8//TRKSkrw6KOPwmAw4Le//e2q70cQIlS4BAJsNhs++ugjHD58GJ9++ikaGhrQ2NiIq6++2u2NbmJiAhMTE8jPz4dKpYJKpUJsbCw/UAXKjGq1MT09jbGxMdTU1PjtDdsT8LTMWiaTYXh4GLW1tUH9vXkaSqUS/f39bgdfX8A+0do+JHSlidaehFqtRm9vr9tir6urC3fffTdefvlllJeX+2APZ7s9RFFUUFCAZ599NuQZ4xkEV+Hy9ttv46GHHgLDMLj33nvxyCOP+HqXPA6GYfDJJ5/gyJEj+PDDD1FdXY3GxkZs27YNYrEYLMvi//2//4fLLrsMTU1NfIFCbMTJQEXkkoGcZO1pjI6OQqFQoLq6es19J85p1iQgdDGdk6mpKUxMTHjMRXitgHAz/L3Y80SitSdBliPr6upcFi29vb3Yv38/XnjhBVRVVa36/oXgdQRP4cIwDIqLi/Hee+8hKysLmzZtwksvveSzans1wDAMPv/8cxw5cgTvv/8+ioqKoFQqkZWVhT/96U9uuypELimVSvnZdnp6OlJSUtbkwENyqMxmMyoqKtb8kpq9zJplWX6gcqWIGBsb423VQ128xYN0qNxxM/wVxJ5BLpdDr9cjMTGRJ36vxnVDVFfuliOHhoawb98+HDx4EHV1dV7fnxB8guApXM6cOYNHH30U77zzDgDg17/+NQDgxz/+sS93a9WgUqmwY8cOJCYmYnp6Gnl5eWhsbMSOHTsWDGUjng9yuRzh4eH8bNufZ4GeAvG2EYlEKC4uDlhlhbdAZNZSqRRWq5WX4MfGxmJ4eJg3Mlzrxd5SQPxG3El3AwXuEq29FU2h1WrR2dnplns2OjqKW2+9FU8//TQ2bdrk8e2H4Ddwe5MOuD75xMSEgzlYVlYWzp4968M9Wj2MjIzg5ptvxk9+8hM0NjbyLq+HDh3Czp07sW7dOjQ2NmLXrl0u11hjYmJ4R1ij0QipVIqWlhYIhUKkp6cjNTU1KGMBGIaBRCJBYmJiKPTPDcLDw7F+/XqsX7+el1kPDw9DpVIhPDwcpaWloWJvCSAcqkAvWgBAIBAgOTkZycnJDonWw8PDCA8P53kxnrh36HS6eYuWiYkJ3HbbbXjyySdDRcsaRsAVLq46RGvhhjo1NYXGxkb8+c9/xiWXXAJg9oZSU1ODmpoa/PKXv0RnZycOHz6MG264AYmJidizZw92797t0oI9KioK+fn5yM/Ph8lkgkwmg0QiAUVRSEtL82t7+aXAarWitbUVmZmZWL9+va93JyAgEomQlpYGlUrFLy1OT0+jp6cnKNOsPQ3CBXLn7BrIoCgK8fHxiI+PR1FREYxGI2QyGdra2sBx3IoSrfV6Pdrb290WLdPT07j11lvx2GOP4bLLLvPE4YQQoAgtFQUIOI6DXC5fVO4Gx3Ho6+vD4cOH8cYbb0AsFmPPnj3Ys2cP0tPT5y30CEGPJFmTIsZfVAZLATHkC+XnLA0sy6KjowNisRiFhYX8+RKMadaexuTkJKamptwG/wUzSICsXC6H2WzmlxsXk2hN0rHdZTbJZDLceOON+O1vf4trr73WW4cQgn8heDguNE2juLgYH3zwATIzM7Fp0ya8+OKLqKio8PWu+SU4jsPw8DCOHDmC1157DUKhENdffz2ampqwfv36BZOsZTIZZDIZaJr2u4yc+UBuhCFDvqWBYRi0tbUhISFh3mU1dzLr1NTUgF8aWS7Gx8chk8lCBGYsLdHaYDBAIpGgqqoKMTExcz5LoVBg7969+OUvf4nrrrtutQ4hBN8jeAoXADh58iT++Z//GQzD4J577sFPfvITX+9SQIDjOExMTPBFjNVqxfXXX4/Gxkbk5uYuKsmakDdTUlKQnp7ulzkoREZZVVUVEEWWv4CmabS2tiI9PR1ZWVlLeq9zmvVSZNbBgLGxMV5iv9aLFmfMl2hts9nQ2trq1rlarVbjxhtvxE9/+lNcf/31Ptj7EHyI4CpcQlg5OI6DVCrF0aNHcfToUeh0OuzatQuNjY0oKiqatxihaZpfTjKZTHwR4yu/B3vI5XIMDg6ipqZmzQyanoDNZkNLSwuysrKwbt26FX2Ws8x6JbyHQMDo6ChUKhWqq6tDvJ8FYJ9oLZfLYTQakZ2djezs7DnXq0ajwd69e/Hwww/jxhtv9NEeh+BDhAqXEOaHXC7HsWPHcPToUcjlcuzcuRN79uxBWVnZvMUISbKWSqUwGAxITk5Genr6ota1PY2JiQlMTU2FDNKWCIvFgpaWFq9wgQjvQSaT8TJrfylyPYGRkRHMzMyEpOJLhMlkQmtrKwoLC/lU69HRUZw9exY33XQTNmzYgFtuuQXf//73ceutt/p6d0PwDUKFSwiLh0qlwvHjx3H06FGMjY1h+/btuOGGG1BZWTnvzdl5XXu10ooJj0ej0aCqqirUql8CyACyGsnYRGZNitzVTrP2NIaGhqDT6Ra8LkJwhNlsRktLC8rKyhAfH88/rlKp8Morr+CNN95AT08P6urq8K//+q/YsmVL6JpemwgVLiEsDxqNBm+++SaOHj2K/v5+bNu2DU1NTairq5v3Zk3SiqVSKbRaLRISEpCenu5x502O49DT0wOWZVFaWhoaQJYAQoosLy93GEBWAyzLQqlU8onFgSazHhwchMFgCDkwLxEWiwXNzc0oLS11SZo3mUy45ZZbcPPNNyM7OxvHjh3D559/jksuuQSNjY247rrr1oRhZggAQoVLCJ6AXq/HW2+9hcOHD6OzsxNXX301mpqasGnTpnlnRM7Om54apFiWRXt7O6KiohxkuyEsDJ1Oh/b2drdKjtWEO5l1SkqK3820OY7D4OAgTCYTKioqQufcEmC1WtHc3Izi4mKXBplmsxm33347mpqa8O1vf5v/bhmGwdmzZ/H666/j3/7t33x+voawaggVLiF4FiaTCe+++y4OHz6M5uZmXHnllWhqasKWLVvm9fRwHqRiY2ORnp6OpKSkJQ1SRAGTlpbm4KQcwsIgqqvq6mpERUX5encc4M8ya5J1ZbVaUV5eHipalgBStGzYsMHlkqTFYsE3v/lNbN++Hf/0T/8U+m5DAEKFSwjehMViwQcffIDDhw/jiy++wJYtW9DY2Igrr7xy3sGG2IdLpVIolUpER0fzTq3zFTEWiwWtra3Izc1Fenq6Nw4paKFUKtHX1+c2vM7f4C8ya2LqSNP0goT1EBxhs9nQ3NyMwsJCJCcnu3z+rrvuwuWXX44f/vCHoe82BIJQ4RLC6sBms+HUqVM4cuQIPvnkE2zatAmNjY3YunXrvFkmzjNtsVjMD1L2HRyj0QiJRLIqZNJgA0kqrq2tDUiegK9k1hzHobe3FxzHoaSkJDSwLgGkaMnPz3epWKNpGt/61rdQV1eHH//4x6HvNgR7hAqXEFYfNE3j008/xeHDh3Hq1ClUV1ejqakJ11577bwRAhzHwWAwQCqVQqFQIDw8HOnp6YiMjERPTw8qKioWTMIOwRGTk5OYnJwMGqn4asmsOY5Dd3c3BAJBKFV8iaBpGs3NzcjNzXUZVcIwDL7zne+gqKgIjz76aOi7DcEZocIlBN+CYRicOXMGR44cwfvvv4/S0lI0NTVh+/btC86YDQYDhoeHMT09jbi4OKxbtw5paWkB2TXwBcbGxiCXy4PWip6maSgUCshkMo/KrDmOQ1dXF8LCwhY0ZQzBETRNo6WlBdnZ2S6XcxmGwYMPPoiMjAz86le/Cn23IbhCqHAJwX/Asiy+/PJLHDp0CO+88w4KCgp4qaOrTsrY2BgfXMcwDKRSKeRyOQQCAR8COd8y1FrG0NAQtFrtmjFI85TMmuM4dHZ2IiIiIqRYWyIYhkFLSwsyMzORkZEx53mWZfGDH/wAMTEx+P/+v/9vTZyXISwLocIlUDA2Nob9+/djenoaAoEA999/Px566CFf75bXwLIsJBIJDh06hLfeegvr169HY2Mjdu3ahYSEBPzqV79Cb28vnn766TlqJcJ5kMlk4DguoJOsPQ17BUxZWdmaHByWK7Mm6dhEZh/C4kGKlvXr17uMjmBZFo888ggA4P/+7//W5HkZwqIRKlwCBVNTU5iamkJ9fT10Oh0aGhpw7NgxlJeX+3rXvA4yyz18+DDeeOMN2Gw2xMTE4Nlnn10w9M9isfBFDMMwfBHjb3Lf1QDhZVAUFSKTXsBiZdbEGyg2Nhb5+fk+3OPAA8MwfEhnZmbmnOdZlsW///u/Q6/X409/+lOoaAlhIYQKl0BFY2Mjvv/97+PrX/+6r3dl1UDTNO6//34wDIMNGzbgzTffRFRUFBobG3H99dcjPT193sHYmbiZmprKJ1kHO0i3QCwWh5Y45oErmXVKSgp6e3sRHx+PvLw8X+9iQIFlWbS2tiI1NdXlJIPjOPzyl7/E9PQ0/vrXvwYl1yoEjyNUuAQihoeHcdVVV6G9vX3NqGiMRiP27duHyy67DD/60Y9AURQ4jsPQ0BCOHDmCY8eOQSQS4frrr0dTUxPWrVs37+Bss9n4EEiz2YzU1FSkpaUFTcifPRiGQVtbGxISEkID7xJgNpshlUoxNDQEoVCI7OzsNdutWw7Icm9ycrJLM0iO4/Cb3/wGAwMDOHjw4LwGlSGEYIdQ4RJo0Ov1+NrXvoaf/OQnayrS/cEHH0R9fT3uuusul89zHIfx8XEcOXIEr732GmiaxvXXX489e/YgNzd33mLEXn1iNBqRnJyMtLQ0nyRZexrESTg9PX3BZbUQHMEwDCQSCVJSUpCenu7QrUtJSQnaQtcTYFmWL5Zzc3PnPM9xHH7/+9+jpaUFL774YlBI8UNYNYQKl0CCzWbD7t278Y1vfAM/+MEPfL07qwqGYRbdRuY4DtPT0zh69CiOHj0KvV6P3bt3o7GxccFlEpJkLZVKodfrkZSUhPT0dMTHxwfcAGWz2XjpqSsVRwjuQXgZaWlpcwo+VzLrQD1HvAHCB4qLi3PZ4eM4Dk888QQ+++wzvPrqqyH7ghCWilDhEijgOA4HDhxAUlISfv/73/t6dwIKcrkcr732Go4ePQqlUomdO3diz549KC0tnXegIRJamUwGrVaLxMREpKWlITEx0e8HKIvFgpaWFhQUFLh0Jg3BPYgCJiMjwyWZ1Pm1KpWKP0cCLc3a0+A4Dh0dHYiOjnZJYuY4Dk8//TTee+89HDlyxOt2BQzDYOPGjcjMzMSbb77p1W2FsGoIFS6Bgk8//RRXXnmlg+/Gr371K+zcudPHexZYUKlUOH78OI4cOYKJiQls374dN9xwAyoqKuYdaEiStVQq5X1A0tPTkZiY6HcDlMlkQmtrayj+YBkgS2vr1q3D+vXrl/RelmUxMzMDuVzu92nW3gBR/0VGRrqViz/33HN4/fXX8frrr69KrtTvfvc7nD9/HlqtNlS4BA9Chcv/v717j2ryvsMA/sAoFhXkmnhBNuViAZGLZcpE6HQUxy0BL13XTjqPunN6uuPm5uk6ztZ51mPt7FHbs+npalftdFZJBLnVFqutRV3VCSrDKygqYAIh3BJuSd794ZKjJSFKCSHh+fwnSXx/QY55eH+/7/dLY1d7eztKSkogl8tRW1uLlJQUSKVSxMTEDBpGBEGAWq2GUqmEWq2Gl5cXRCIR/Pz87B5iNBoNLl68iIiICEyaNMmua3E0xq6u06ZNM9tr5HGM5mnWtmDsJuzu7m5xO3bfvn34+OOPUVxcPCIHnO/evYvc3Fzk5eVh69atDC7Og8GFCLh/6LmsrAwymQyXL1/GokWLIJFIEB8fP+hvy4IgoL29HQqFwvRbtlgshp+f34j/lt3Z2Ynq6mpERUVh4sSJI3ptR2c8DxQUFGSTyeKjZZq1LQiCgKtXr8LV1RWhoaFmQ8vBgwexe/dulJSUjNjP5rJly/Daa6+hs7MTb7/9NoOL82BwIfqm7u5ufPrpp5DJZKiqqkJSUhIkEgkSEhIGLdkUBAEdHR1QKpVQqVQYP368aavA1qWebW1tuHLlCubMmcNy3cdkDC2Whv4Nt+7ublOFkiAIplJ8R/x3M07IBmBx2GRhYSF27tyJkpKSEbsLWFJSgrKyMuzYsQNffPEFg4tzYXAhGkxvby+OHj0KmUyGs2fPIiEhAVKpFImJiYPe8hcEAV1dXaatgnHjxkEsFsPf33/YtwpUKhVu3LiB6Ohop/gNfiT19fWhqqoKM2bMsMsh5m82RXSkMmtBEHD9+nXo9XqLB91LS0uxbds2lJaWwsfHZ8TW9tprr+Gf//wn3Nzc0NPTg46ODuTk5GDv3r0jtgayGQYXokfV39+P48ePQy6Xo6KiAvHx8ZBKpXjmmWeslnRqNBooFAq0tLTAzc0NYrEYAQEB37oUVKlU4tatW4iJiWFZ6WPq6+tDZWUlgoOD4e/vb+/lDCizNvYTGo1l1oIgoLa21jTzytz6PvvsM7z55psoKyuDn5+fHVZ5H++4OB0GF6Kh0Ol0qKioQH5+Pr788ktER0dDKpVi8eLFVu96aLVa0/wk43mHoUyybmxsRGNjI6Kjo53ywKctGcvFQ0JC7Pqhaom5MuvRVMVWW1uLnp4eREREmA0tx44dw8aNG1FaWjoi22+DYXBxOgwuRN+WXq/H6dOnIZPJ8PnnnyM8PBxSqRQpKSlW5yB1d3ebQoyLi4spxFgLP3fu3EFzczOio6PHRKntcOrp6UFVVZXDlIsby6yNVWyenp4ICAiwW5n1zZs3odFoEBkZaTa0nDhxAnl5eSgtLWXjQ7IFBhei4WQwGHDu3Dnk5+fjs88+Q3BwMLKysvDjH/8Ynp6eg772wUnWBoPBNATSw8PD9BxBEHDr1i10dHQ81NOHHo0xtMyaNWtEz1wMF+MB8ObmZruUWRt/9mbPnm32Z+/06dP47W9/i5KSEqvN+4iGiMGFyFaMk3Hz8/Nx5MgRTJs2DVlZWUhPT4e3t/egr+3r6zOFGJ1Oh4CAAAQEBKCpqcl0roCh5fEYG/M99dRTVr//jqKrqwvNzc0PlVkPZdvxUdy+fRtqtdpiYD579izWrVuHoqIiBAUFDfv1if6PwYVoJBhboctkMpSUlMDPzw9SqRQZGRlWz1j09/dDqVSirq4OBoMBgYGBEIvFmDBhwqg7tDlaGUNLeHi40zbms2WZ9Z07d6BSqTBnzhyzoaWyshIvv/wyCgsLzbb6JxpGDC5EI83Y+0Imk6G4uBgTJkyARCJBZmYmRCLRgDCi1+tRU1OD8ePHIygoyDQEsru721Q+6+npyRBjgVarNXUT9vLysvdyRsRwllnfvXvXdJ7KXGi5dOkS1qxZA5lMhrCwsOF6C0SWMLjQ6DRWhqMJgoC6ujrI5XIUFhbC3d0dmZmZkEgkmDJlCrRaLZYtW4ZXX30VzzzzzEOv1ev1pvLZrq4u+Pn5QSwWw8vLiyHm/4wjEGbPnm31jJGz+jZl1g0NDVAoFBYPgdfU1GDVqlU4cOAAwsPDbfUWiB7E4EKj01gcjiYIAu7evQuZTIaCggL09fWhq6sLWVlZyMvLG/RDxlg+q1Ao0NnZCV9fX4hEInh7e4/ZENPV1YVLly5xBMIDHqfMuqmpCY2NjYiJiTEbWq5du4aVK1di3759iIqKGqm3QMTgQqMPh6Pd74ablpaGyMhI1NfXQ6PRID09HRKJxOIQOyODwWD6cGpvb4e3tzdEItGo6QEyEji3ybrByqybm5vR0NBgMbTU1dXhpz/9Kfbs2YPY2Fg7rJ7GMIv/+dl2sArRIH71q1/hL3/5Czo7O+29FLtoamqCRCLB66+/jvT0dAD3O+QWFBRgw4YNaG1tRVpaGiQSCWbNmjUgxLi6usLf3x/+/v6mDyeFQoFr167By8sLYrEYvr6+ThtijKFlzpw5VvvojGWurq7w9fWFr6/vQ3O2rl+/Dp1Oh5CQEBgMhgHBpb6+Hi+88AI++OADhhYaVXjHhexirA9H02q1WLhwIbZu3Yrk5GSzz2ltbcXhw4chl8vR2NiI1NRUZGdnIyIiYtAw8s1J1p6enhCJRHaZZG0rHR0dqKmp4bDJIVIqlaivr0dYWBhaW1vR3NyM8+fPo6OjA8899xzc3NywfPly7Ny5EwkJCfZeLo1N3Cqi0YXD0e5/eDxqm/T29nYUFxdDLpfj5s2bSElJgUQiQUxMjNUQY/wNu6WlBRMmTDANgXTUENPe3o7Lly8jOjr6oaZ99Giam5tx8+ZNxMbGPtTMrq6uDvv370dZWRmampqQk5OD3/zmNwgODrbjamkMY3Ch0Wss3nH5Njo7O1FWVgaZTIarV69i0aJFkEgkiI+Ptxpiurq6TEMgPTw8TN1Y3dwcY9e4ra0NV65cYWgZIpVKhdra2gGhxUihUGDp0qXIy8tDW1sbCgoKoFQqkZaWhpycHERFRY3ZQ+A04hhcaPRicBm67u5uHDlyBHK5HFVVVUhOToZEIkFCQoLVOyoPhhh3d3fTJOvROshRrVbj6tWriImJsTrjiQZqbW3F9evXERsba3bCeEtLC3JycvDGG29gyZIlpq93dHSgrKwMR48exXvvveewd+rI4TC4EDm73t5elJeXQyaT4dy5c0hISEB2djYWLFhgNYxoNBoolUo0NzfDzc3N1FLe3AecPRg/dGNiYmzS5t7ZqdVqXLt2zWJoUavVyMnJwR/+8AdkZGTYYYVEAzC4EI0lfX19OH78OORyOU6ePInvf//7kEqlSE5OthpGHpxk7erqatpOstddDpVKhRs3bjC0DJFxey02Ntbs96+9vR1Lly7Fhg0bkJ2dbYcVEpnF4EI0Vul0Onz11VfIz8/Hl19+idjYWEilUixatMhqGOnp6TGFGEEQTHdiRup8SUtLC+rq6hATEzNq7v44EuNBZkvba52dnVi2bBleeeUVPPfcc3ZYIZFFDC5EdL+j6qlTpyCTyXDs2DFERERAIpHg2WeftVpWbG6StVgstlk5srH6haFlaIwl45YOMms0GixfvhyrV6/Giy++aIcVEg2KwYWIHmYwGHD27Fnk5+ejvLwcISEhyMrKwpIlS6zO+/nmcD/jhOLh6l5r7DMSExMzag8Lj2adnZ3473//azG0dHd3Y8WKFXjhhRewatUqO6yQyCoGFyKyzGAwoKqqCjKZDJ988gmmT5+OrKwspKWlwdvbe9DX9vf3m4b7GSdZi8XiIU0oBu6X5N6+fZuhZYiMocVSc76enh48//zzyMnJwdq1a1neTKMVgwsRPRpBEFBdXQ2ZTIbS0lL4+/tDKpUiPT0dfn5+g75Wp9NBpVJBoVBAq9WaJhQ/6iTrpqYm0+wcR+ktM5oYB05aGoPQ29uLn/3sZ0hNTcUrr7zC0EKjGYMLET0+QRBw9epVyGQyFBcXw8vLC1lZWcjMzERAQIDVSdYqlQpKpdI0yVosFmPSpElmX9fY2IimpiaLA/9ocBqNBhcvXrQ4cLK/vx+5ublYuHAh1q9fz9BCox2DCxF9O4IgoLa2FnK5HIcPH4a7uzuysrIgkUgwefLkR5pkrVAo0NHRAR8fH9MkaxcXFzQ0NEChUCA6OpqhZQi0Wi0uXLhgMbTodDqsWrUKc+fOxe9+9zuGFnIEDC5ENHwEQcDt27chl8tRWFgIg8GAjIwMZGdnIzAw0GqIUavVUCqVaGtrg5ubGwwGA+Li4nimZQi6u7tx4cIFREZGmj1Urdfr8Ytf/AJhYWF4/fXXGVrIUTC4EJFtCIKApqYmyOVyFBQUoLu7G+np6ZBIJJg5c+agH5T19fVQKBTw9PREW1sbvLy8TJOsB5u7RPcZQ0tERAS8vLwGPK7X6/HLX/4SU6ZMwaZNmxhayJEwuBDZS1tbG1avXo3q6mq4uLjgH//4BxISEuy9LJtRKpUoKCiAXC6HWq1GWloapFIpwsLCHvrg3LdvHyIiIhAdHQ1XV1cIgoD29nYolUqoVCpMnDgRIpHIoSdZ21JPTw+qqqoQHh6OSZMmDXjcYDDg17/+Nby8vLBlyxYGQXI0DC5E9mI8ELl69Wr09fVBq9VaLTF2FiqVCocPH4ZcLse9e/eQmpqK7Oxs7N+/HxcuXIBMJjPbhl4QBHR2dkKhUEClUsHDwwNisRj+/v6sNsL96qDKyko89dRTZn+WDAYDXn31Vbi4uODdd9+1aWi5c+cOVq5ciXv37sHV1RVr167FunXrbHY9GjMYXIjsoaOjA9HR0airqxvzt+nb2tpQXFyMN998E3q9HhkZGcjJyTHdcbFEEARoNBrTJOtx48aZ5ieNxTMxvb29qKqqQlhYGHx8fAY8bjAY8Mc//hEajQY7d+60+Z2WpqYmNDU1IS4uDp2dnZg7dy4KCwsRERFh0+uS07P4HybvHRLZUF1dHQICAvDzn/8csbGxWL16NTQajb2XZReTJk3CjRs38PTTT+Prr79GfHw8tm/fjh/84Af4/e9/jzNnzsBgMAx4nYuLCyZOnIjg4GDMmzcPoaGhpjsO58+fR0NDA/r6+uzwjkZeX18fqqqqEBoaaja0CIKAN954A2q1Gjt27BiR7aEpU6YgLi4OAODp6Ynw8HA0NDTY/Lo0dvGOC5ENnTt3DvPnz8fJkycxb948rFu3Dl5eXvjzn/9s76WNKEEQkJeXB4VCgb///e8PnVnRarX45JNPcOjQIVy8eBFJSUmQSqWYP3++1bMtWq0WSqUSzc3NpknWIpHIKadI9/f3o7KyEsHBwWYbAQqCgLfeegt1dXXYs2ePXc4F3bp1C0lJSaiurjZ7WJjoMXCriMge7t27h/nz5+PWrVsAgK+++gqbN29GaWmpfRc2wurr6/HOO+/g7bffHvQuQE9PD8rLyyGTyXDu3DksWLAA2dnZWLBggdWzLQ9OsgZgCjHWJmA7AmNomTFjBgICAgY8LggCtm3bhosXL+Jf//qXXc4BdXV1ITk5GXl5ecjJyRnx65PTYXAhspeFCxdi165dmDVrFv70pz9Bo9Fgy5Yt9l7WqNfX14fjx49DJpPh1KlTmDdvHqRSKZKSkqxOi+7t7TWFGIPBYJpkbW7g4GjX39+PqqoqfPe734VIJBrwuCAI+Nvf/obTp0/jwIEDdpmk3d/fj4yMDKSmpmL9+vUjfn1ySgwuRPZSVVVlqiiaOXMmPvzwQ7PnE8gynU6HEydOID8/HydOnEBcXBykUil++MMfWr2jYpxkrVAooNPpTJOszc3yGW10Oh0qKysRFBQEsVg84HFBEPD+++/j6NGjkMvldtkiEwQBubm58PX1xfbt20f8+uS0GFyIyDno9XqcPHkSMpkMx48fR2RkJCQSCVJSUsxOQ35Qf38/mpuboVQq0dvbC39/f4hEoiFPsrYlvV6PyspKBAYGYvLkyQMeFwQBu3fvRnFxMQoLC+22JVZRUYGFCxciKirKtA24adMmpKWl2WU95DQYXIjI+RgMBpw5cwb5+fkoLy9HaGgopFIpUlNTzc7seZBOp0NLSwuUSqVpkrVYLIanp6fdQ4xer0dVVRWmTp2KKVOmmH3O3r17cfDgQRQVFVkNbEQOiMGFiJybwWBAZWUlZDIZjhw5gunTp0MikSAtLc1sZ9kHGSdZKxQKdHV1wc/PDyKRyOIka1vS6/W4cOECJk+ejKlTp5p9zsGDB7F7926UlpY6xJYX0RAwuBDR2CEIAqqrq5Gfn4+ysjIEBARAIpEgIyMDvr6+g77WYDBApVJBqVSaJlmLxWJ4e3vbPMQYDAZcuHABAQEBCAwMNPucgoICvPfeeygpKWHJMTkzBhciGpsEQcCVK1cgk8lMH/bGEBMQEPBIk6wVCgXa29vh7e0NkUgEHx+fYW/uZjAYcPHiRfj5+WH69Olmn1NSUoLt27ejtLSUB7zJ2TG4EBEJgoDa2lrIZDIUFRVh3LhxyMzMhEQiweTJkwcNMYIgQK1WQ6lUQq1Ww8vLC2KxGL6+vt86xBgMBly6dAk+Pj4ICgoy+5xPP/0Ub731FkpLS802oCNyMgwuREQPEgQB9fX1kMvlKCwsBABkZGRAKpUiMDDQaohpb2+HQqFAa2srPD09IRKJ4Ofn99gdaw0Gg6nT7Pe+9z2zzzl27Bg2btxo2vYiGgMYXIiILBEEAY2NjZDL5SgoKEBPTw8yMjIgkUgwY8YMqyGmo6MDSqUSKpUK48ePh1gshp+fn9UOtsazOBMnTsSMGTPMPufEiRPIy8tDaWmp2bJoIifF4EJE9CgEQYBSqURBQQEOHTqEtrY2pKWlQSKRICwszGqI6erqMk2y9vDwgEgkgr+//4BJ1oIgoKamBk8++SSCg4PN/n2nTp3Chg0bUFJSgmnTpg3r+yQa5RhciIiGQqVSobCwEHK5HAqFAkuWLIFUKkV4eLjVsy1dXV2mIZDu7u6m+Ulubm64fPky3N3dERwcbDYMnT17FuvWrUNRUZHFcy9ETozBhYjo22pra0NRURHkcjlu376NH/3oR8jOzsacOXOshhjjJGulUomenh5MnDgRkZGRZtv0V1ZW4uWXX0ZhYaHFLSQiJ8fgQkQ0nDo6OlBaWgq5XI5r165h8eLFkEqlmDt3rsUQIwgCrl27Bp1OhwkTJqC5uRkuLi6oqalBYmIiZs6ciUuXLmHNmjWQy+UIDQ0d4XdFNGowuBDRyNi2bRt27doFFxcXREVF4cMPP7TbHJ2RotVqUVZWhkOHDuHSpUtITk6GVCrFvHnzTFVGBoMBW7duRWpqKmbPnm3aHurp6cGOHTtQUFCA3t5eaDQa7Nq1C4sXL7bnWyKyNwYXIrK9hoYGJCYmoqamBh4eHlixYgXS0tLw0ksv2XtpI6anpwfl5eXIz8/Hf/7zHyQmJkIikUAul0OtVmPPnj1mS6avXr2KNWvWID09HV9//TU6OjqQlZWFpUuX8s4LjUUWg8vgtXpERI9Jp9Ohu7sbTzzxBLRarcV5O87qySefRGZmJjIzM9HX14djx44hLy8PnZ2dSExMxPHjx5GUlAR3d3fTa+rq6pCbm4uPPvoIMTExAIDW1lYUFxdj/fr1CA4Oxvbt2+3zhohGGd5xIaJh9c477yAvLw8eHh549tlnsW/fPnsvya42bdqEK1eu4P3330dFRQXy8/NRUVGBuLg4SCQShISEYOXKlfjggw/w9NNPm/07BEGw+8RqohHGrSIisj21Wo2lS5fiwIED8Pb2xvLly7Fs2TK8+OKL9l6aXWzZsgXnz5/H3r17H9oe0uv1qKiogFwux969e1FUVITExEQ7rpRo1LEYXIZ3ShgRjWlHjx7FjBkzEBAQgCeeeAI5OTk4deqUvZdlF21tbbh58yY++uijAWdavvOd7yA5ORnvvvsuVCoVQwvRY2BwIaJhExQUhH//+9/QarUQBAGff/45wsPD7b0su/D29saOHTsGdMz9Jm4BET0eBhciGjbz5s3DsmXLEBcXh6ioKBgMBqxdu9beyyIiJ8IzLkRERDTa8IwLEREROT4GFyIiInIYDC5ERETkMBhciIiIyGEwuBAREZHDYHAhIiIih8HgQkTkwI4cOYJZs2YhJCQEmzdvtvdyiGyOfVyIiByUXq9HWFgYysvLERgYiPj4eOzfvx8RERH2XhrRt8U+LkREzubMmTMICQnBzJkz4e7ujp/85Cc4fPiwvZdFZFMMLkREDqqhoQHTp083/TkwMBANDQ12XBGR7TG4EBE5KHNb/RzaSM6OwYWIaAhWrVoFkUiE2bNnm77W2tqKlJQUhIaGIiUlBWq12qZrCAwMxJ07d0x/vnv3LqZOnWrTaxLZG4MLEdEQvPTSSzhy5MhDX9u8eTMWL16M69evY/HixTav8omPj8f169dx8+ZN9PX14eOPP0ZWVpZNr0lkbwwuRERDkJSUBF9f34e+dvjwYeTm5gIAcnNzUVhYaNM1uLm54a9//StSU1MRHh6OFStWIDIy0qbXJLI3lkMTEQ3RrVu3kJGRgerqagCAt7c32traTI/7+PjYfLuIyEmxHJqIiIgcH4MLEdEwEYvFaGpqAgA0NTVBJBLZeUVEzofBhYhomGRlZWHPnj0AgD179kAikdh5RUTOh2dciIiG4Pnnn8cXX3yBlpYWiMVibNy4EVKpFCtWrMDt27cRFBSE/Pz8AQd4ieiRWDzjwuBCREREow0P5xIREZHjY3AhIiIih8HgQkRERA6DwYWIiIgcBoMLEREROQwGFyIiInIYDC5ERETkMBhciIiIyGEwuBAREZHDYHAhIiIih+Fm5XGLLXeJiIiIRhrvuBAREZHDYHAhIiIih8HgQkRERA6DwYWIiIgcBoMLEREROQwGFyIiInIY/wPx2bstAwwdPQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(10,10))\n",
    "ax = fig.add_subplot(111, projection='3d')\n",
    "\n",
    "############################## Arrows and Texts #####################################\n",
    "\n",
    "vec = np.array([[[0, 0, 0, 3, 4, 5]],\n",
    "               [[0, 0, 0, 3, 6, 2]],\n",
    "               [[0, 0, 0, 6, 10, 7]],\n",
    "               [[3, 4, 5, 3, 6, 2]],\n",
    "               [[3, 6, 2, 3, 4, 5]],\n",
    "               [[0, 0, 0, 8, 2, 2]],\n",
    "               [[0, 0, 0, 4, 1, 1]]])\n",
    "colors = ['r','b','g','b','r','r','b'] \n",
    "\n",
    "for i in range(vec.shape[0]):\n",
    "    X,Y,Z, U,V,W = zip(*vec[i,:,:])\n",
    "    ax.quiver(X, Y, Z, U, V, W, length=1, normalize=False, \n",
    "              color = colors[i], alpha = .6,arrow_length_ratio = .08, pivot = 'tail',\n",
    "              linestyles = 'solid',linewidths = 3)\n",
    "    ax.text(x = vec[i, 0, 3], y = vec[i, 0, 4], z= vec[i, 0, 5], \n",
    "            s = '$(%.0d, %.0d, %.0d)$'%(vec[i, 0, 3],vec[i, 0, 4],vec[i, 0, 5]))\n",
    "    \n",
    "############################## Axis #####################################\n",
    "ax.grid()\n",
    "ax.set_xlim([0, 10])\n",
    "ax.set_ylim([0, 10])\n",
    "ax.set_zlim([0, 10])\n",
    "ax.set_title('Vector Addition and Scalar Multiplication', size = 16)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Similarly with $\\mathbf{u}-\\mathbf{v}$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(10,10))\n",
    "ax = fig.add_subplot(111, projection='3d')\n",
    "\n",
    "############################## Arrows and Texts #####################################\n",
    "\n",
    "vec = np.array([[[0, 0, 0, 3, 4, 5]],\n",
    "               [[0, 0, 0, 3, 6, 2]],\n",
    "               [[0, 0, 0, -3, -6, -2]],\n",
    "               [[0, 0, 0, 0, -2, 3]],\n",
    "               [[-3, -6, -2, 3, 4, 5]],\n",
    "               [[3, 4, 5, -3, -6, -2]]])\n",
    "for i in range(vec.shape[0]):\n",
    "    X,Y,Z, U,V,W = zip(*vec[i,:,:])\n",
    "    ax.quiver(X, Y, Z, U, V, W, length=1, normalize=False, \n",
    "              color = colors[i],arrow_length_ratio = .08, pivot = 'tail',\n",
    "              linestyles = 'solid',linewidths = 3, alpha = 1 - .15*i)\n",
    "    ax.text(x = vec[i, 0, 3], y = vec[i, 0, 4], z= vec[i, 0, 5], \n",
    "            s = '$(%.0d, %.0d, %.0d)$'%(vec[i, 0, 3],vec[i, 0, 4],vec[i, 0, 5]))\n",
    "\n",
    "s = ['$u$','$v$', '$-v$','$u-v$']\n",
    "for i in range(4):\n",
    "    ax.text(x = vec[i,0, 3]/2, y = vec[i,0, 4]/2, z= vec[i,0, 5]/2, \n",
    "            s = s[i], size = 15, zorder = i+vec.shape[0])\n",
    "    \n",
    "############################## Axis #####################################\n",
    "\n",
    "ax.grid()\n",
    "ax.set_xlim([-6, 6])\n",
    "ax.set_ylim([-6, 6])\n",
    "ax.set_zlim([-3, 6])\n",
    "\n",
    "ax.set_title('Vector Subtraction', size = 18)\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.8"
  },
  "toc": {
   "base_numbering": 1,
   "nav_menu": {},
   "number_sections": true,
   "sideBar": true,
   "skip_h1_title": false,
   "title_cell": "Table of Contents",
   "title_sidebar": "Contents",
   "toc_cell": false,
   "toc_position": {
    "height": "calc(100% - 180px)",
    "left": "10px",
    "top": "150px",
    "width": "165px"
   },
   "toc_section_display": true,
   "toc_window_display": false
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
